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4x + 4 = 2x - 6

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timbojg666 | Student, Grade 10 | eNotes Newbie

Posted September 6, 2009 at 10:44 PM via web

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4x + 4 = 2x - 6

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eblount | High School Teacher | (Level 1) Adjunct Educator

Posted December 23, 2009 at 9:00 AM (Answer #1)

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4x + 4 = 2x - 6

In this equation you must combine the like terms and then solve for x.  First you must use inverse operations (the opposite) to move the x's and numbers to the same sides:

Subtract 2x from 2x and move it to the side of the equation with 4x + 4 

4x + 4 + 2x - 2x -6

4x - 2x + 4 = -6 (What you do to one side you must do to the other side - subtract 2x from 4x)

    2x + 4 = -6  (Now we must move the 4 to the other side of the equation)

     2x + 4 - 4 = -6 - 4

          2x = -10

     Then we divide both sides by 2

           x = -5

 

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adarshanurag | Student, Grade 11 | (Level 1) Valedictorian

Posted December 7, 2013 at 6:18 AM (Answer #7)

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     4x+4=2x-6

=>4x-2x=-6-4

=>2x=-10

=>x=-5

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neela | High School Teacher | (Level 3) Valedictorian

Posted September 6, 2009 at 10:56 PM (Answer #2)

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To solve 4x+4=2x-6.

This is a simple equation in one  unknown (or variable x). We have to find the value of  the unknown x.

We employ a technic of shifting all the unknowns, i.e. x's to the left and all the knowns or the numbers to the right, by simple operations like adding equals to both sides, or subtracting equals from both sides , or multiply by equals both sides , or dividing by equals both sides,(except dividing by zero) .

Subract 2x from both sides.

4x+4-2x= 2x-6-2x

Simplify by collecting the like terms, 4x and -2x on the left which gives 2x. On the right 2x and -2x  are the like terms and they get cancelled.

2x+4=-6

Subtrat 4 from both sides:

2x+4-4=-6-4.

Simplify both sides:

2x=-10.

Divide both sides by 2

2x/2=-10/2.

Simplify both sides.

x=-5.

Verification: Substititute the solution x=-5 in the given equation and see whether both sides become equal in value:

Left side : 4x+4= 4*(-5)+4=-20+4=-16

Right side:2x-6=2*(-5)-6 = -10-6=-16.

 

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krishna-agrawala | College Teacher | (Level 3) Valedictorian

Posted September 6, 2009 at 11:49 PM (Answer #3)

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The method in the answer posted above is correct. However there is a simpler and shorter method of getting all the terms containing x on left hand side and all the terms containing only number on the right hand side of the equation. The rule is that you can shift any term in an equation from one side to the other by simply changing the sign of the term. Thus, when terms are shifted from one side to another the terms with positive signs will acquire negative sign, and terms with negative sign will acquire positive signs. The alternate solution using this method is given below>

Given 4x + 4 = 2x - 6

Therefore shifting all terms containing x to left hand side and only numbers to right hand side of equation we get:

4x - 2x = - 6 - 4

Therefore: 2x = -10

Therefore: x = -10/2 = -5     Answer

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jeyaram | Student, Undergraduate | (Level 1) Valedictorian

Posted September 18, 2009 at 10:24 PM (Answer #4)

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4x + 4 = 2x - 6

4x-2x=(-6)-4

2x=-10

x=(-5)

 

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lmull | High School Teacher | (Level 1) Adjunct Educator

Posted December 21, 2009 at 10:32 PM (Answer #5)

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4x+4 = 2x-6

4x-2x=-6-4

2x=-10

x=-5

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princessenotes | Student, Undergraduate | (Level 1) Honors

Posted March 13, 2010 at 11:48 AM (Answer #6)

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Move the x's to one side of the equal sign and move the numerals to the other side of the equal sign.

 

2x = -10

x = -5

You can also email my teacher for help at helpmathtutor@gmail.com

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Jyotsana | Student, Grade 10 | (Level 1) Valedictorian

Posted February 1, 2014 at 10:57 PM (Answer #8)

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4x+4=2x-6

4x+4-4=2x-6-4

4x=2x-10

4x-2x=2x-10-2x

2x=-10

2x/2=-10/2

x=-5

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Yojana_Thapa | Student, Grade 10 | (Level 1) Valedictorian

Posted February 24, 2014 at 11:08 PM (Answer #9)

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4x + 4 = 2x - 6

(4x-2x) +4 = -6

2x+4=-6

2x+4=(-6-4)

2x= -10

x= -5

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nicole8923 | Student, Grade 10 | (Level 1) Salutatorian

Posted February 26, 2014 at 7:39 PM (Answer #10)

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4x+4=2x-6

4x+4-2x=2x-6-2x

2x+4=-6

2x+4-4=-6-4

2x=-10

x=-5

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Wiggin42 | Student, Grade 11 | (Level 2) Valedictorian

Posted May 24, 2014 at 8:25 PM (Answer #11)

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4x + 4 = 2x - 6

Combine like terms. You want your variables on one side and your numbers on the other. In this case, I subtracted 2x from both sides to get my x terms all on the same side. I subtracted 4 from both sides to get my numbers all on the other side: 

2x = 10

We have to undo whatever is being done to the variable to solve for it. The opposite of multiplication is division so I will divide both sides by 2. 

x = 5

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nisarg | Student, Kindergarten | (Level 1) Valedictorian

Posted June 18, 2014 at 3:38 AM (Answer #12)

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4x + 4 = 2x - 6

2x +4= -6           subtract 2x

2x=-10                 subtract 4

x= -5                    divide by 2

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jess1999 | TA , Grade 9 | (Level 1) Valedictorian

Posted June 19, 2014 at 4:59 AM (Answer #13)

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4x + 4 = 2x - 6

To solve this equation, first subtract 2x on both sides, this way the " x " would all be on the same side making this equation easier to solve.

Once you subtract 2x on both sides your equation should be

2x + 4 = -6 Now subtract four from both sides

After subtracting four from both sides your equation should be

2x = -10 Now divide 2 from both sides

After dividing 2 from both sides your equation should be

x = -5 which is your answer

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ik9744 | TA , Grade 9 | (Level 1) Valedictorian

Posted June 23, 2014 at 12:51 AM (Answer #14)

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4x + 4 = 2x - 6

[4x - 2x] + 4 = -6  First get the variable on the same side

2x+4 = -6              Subtract +4 from both sides

2x = -10                 Divide 2 from both sides

x = -5

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zumba96 | TA , Grade 11 | (Level 2) Valedictorian

Posted June 30, 2014 at 1:00 AM (Answer #15)

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4x + 4 = 2x - 6

 You are looking for x
 
Move all the variables on one side
 
4x-2x=-6-4
 
2x=-10
 
Divide
x=-5
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acompanioninthetardis | TA , Undergraduate | (Level 1) Valedictorian

Posted June 30, 2014 at 6:06 PM (Answer #16)

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4x + 4 = 2x - 6

2x+4=-6

2x=-10

x= -5

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nisarg | Student, Kindergarten | (Level 1) Valedictorian

Posted July 12, 2014 at 1:58 AM (Answer #17)

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4x + 4 = 2x - 6   subtract 2x from both sides

2x+4=-6             add 6 to both sides

2x+10=0           this is the simplified equation to get x subtract -10

2x=-10              then divide both sides by 2

x=-5

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udonbutterfly | TA , College Freshman | (Level 1) Valedictorian

Posted July 30, 2014 at 7:55 PM (Answer #18)

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4x + 4 = 2x - 6

In order to solve for what x is you must put all the terms that are the alike on the same side

Now you want to know which whole number is greater and which one is less between the negative 6 and the positive 4. In this case it's -6 so we are going to add that to both sides instead of subtracting the 4 from both sides.

6+(4x + 4) = (2x - 6)+6 the 6 is going cancel out on the rights side and you'll get...

4x + 10 = 2x  Now subtract 2x from 4x

2x + 10 Subtract the 2x to the right side

10 = -2x Divide 10 by -2

-5 = x There you go :D

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malkaam | TA , Undergraduate | (Level 1) Valedictorian

Posted October 28, 2014 at 1:21 PM (Answer #19)

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4x + 4 = 2x - 6

In order to solve this equation we must isolate the variable x

4x + 4 = 2x - 6

4x + 4 - 4 = 2x - 6 - 4     (subtract 4 from both sides)

4x = 2x - 10                    

4x - 2x = 2x -10 + 2x      (subtract 2x from both sides)

2x = -10                          

2x/2 = -10/2                    (divide both sides by 2)

x = -5

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