My question is: 4x+6=-10  I thought that when you transfer all you x"s to one side, you change sighns, and then if there was 2 negatives on the same side it changed you # to a positive. Im so...

My question is: 4x+6=-10

 

I thought that when you transfer all you x"s to one side, you change sighns, and then if there was 2 negatives on the same side it changed you # to a positive. Im so lost, Can somebody Please help, Thanks

Asked on by pixiek

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pohnpei397's profile pic

pohnpei397 | College Teacher | (Level 3) Distinguished Educator

Posted on

Obviously, the above answer is correct.  But just to answer some of the stuff you asked about.

You already have all of the x's on one side so you don't have to transfer anything.  When you do transfer (like if you had 2x + 3 = x-15) you only do whatever you have to do to make it so there are no longer any x's on one side.  So you'd subtract x from both sides and you'd have x+3 = -15.  But you don't automatically have to change signs.

So then if you have two negatives on one side -- I assume you're talking about how you end up with -10-6.  That doesn't mean you change to a positive either.  You only change to a positive if you are SUBTRACTING A NEGATIVE NUMBER.  So -10-6 is -16 but -10 minus -6 would be -10+6 or -4.

I hope that helps.

neela's profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted on

To solve 4x+6=-10

This is an equation whre x is an unknown and is to be solved.We know that in an equation we can add or subtract equals and multiply or divide by equals (except zero). We do like that and see that x's remain on one side and numbers remain on the other side.

Subtract 6 from both sides

4x+6-6=-10-6.

Simplify:

4x=-16

Divide both sides by 4:

4x/4=-16/4

simplify:

x=-4, which is the solution or value of x .

malkaam's profile pic

malkaam | Student, Undergraduate | (Level 1) Valedictorian

Posted on

4x + 6= -10

In order to solve you need to isolate x,

4x + 6 = -10 

4x + 6 - 6 = -10 - 6         (subtract 6 from both sides)

[(-10-6) two same signs result in addition and the sign of the bigger number is taken, two different signs result in subtraction and the sign of the bigger number is taken]

4x = -16

4x/4 = -16/4                   (divide both sides by 4)

[In multiplication or division when you change sides the sign remains the same as shown above]

x = -4 Answer.

When multiplying or dividing signs are also multiplied such that, + * - = -

                                                                                            + * + = +

                                                                                             - * - = +

                                                                                             - * + = -

i.e. different signs when multiplied become negative, same signs when multiplied become positive.  

zumba96's profile pic

zumba96 | Student, Grade 11 | (Level 3) Valedictorian

Posted on

4x+6=-10

So you need to isolate the variable

4x=-10-6

Since you moved the 6 to the other side it becomes negative

Combine like terms

4x=-16

Divide by 4 to get x

x=-4

nisarg's profile pic

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

Posted on

4x+6=-10

4x=-16      subtract 6 from both sides

x=-4           divide both sides by 4

jess1999's profile pic

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

Posted on

4x + 6 = -10

To solve this equation you would have to try to get " x " alone. In order to do that subtract 6 from both sides.

By subtracting 6 from both sides your equation should look like

4x = -16 now you have to divide both sides by 4

By dividing both sides by 4, your equation should look like

x = -4 which is your answer

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

4x+6=-10

it only turns into a positive if you are multiplying or dividing, on this problem we are adding and subtracting

4x + 6 =-10

so you minus the 6

4x = -10 - 6 

4x = -16

now divide by 4

`(4x)/ 4 = -16/4`

x = -4

Wiggin42's profile pic

Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

Posted on

4x + 6= -10

Undo addition and/or subtraction first. 

4x = -10 - 6 = -16

Undo multiplication and/or division next. 

x = -16/4 = -4

superfreak4knowledge's profile pic

superfreak4knowledge | Elementary School Teacher | eNotes Newbie

Posted on

I believe when you multiply a negative and a positive, regardless of what side it is on, you still get a negative.  So, 4(-4) + 6 = -10.  -16 + 6 = -10

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