Solve for x: 24x + 11 = 5x + 8x

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durbanville's profile pic

durbanville | High School Teacher | (Level 2) Educator Emeritus

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To solve 24x+11 = 5x+8x arrange all like terms:

`therefore 24x+11 = 13x`

`therefore 24x-13x= -11` 

(Take care with symbols when rearranging)

`therefore 11x=-11`

`therefore (11x)/11= -11/11`

`therefore x=-1`

Ans: from the equation 24x+11=5x+8x x=-1

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sid-sarfraz | Student, Graduate | (Level 2) Salutatorian

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QUESTION:-

Solve for x: 24x + 11 = 5x + 8x

SOLUTION:-

24x + 11 = 5x + 8x

Solving for the value of x;

Bring 24x to RHS with all the 'x' values by changing its sign;

11 = 5x + 8x - 24x

11 = 13x - 24x

11 = -11x

Now divide by -11 both sides;

11/(-11) = -11x/(-11)

-1 = x

Therefore;

x = -1 is the answer.

The answer can be rechecked by inserting the value of x in the problem;

Solve for x: 24x + 11 = 5x + 8x 

Hence;

24 (-1) + 11 = 5 (-1) + 8(-1)

-24 + 11 = -5 -8

-13 = -13

LHS = RHS

Hence proved!

malkaam's profile pic

malkaam | Student, Undergraduate | (Level 1) Valedictorian

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24x + 11 = 5x + 8x

To find the value of the variable x, we need to isolate the unknown variable,

24x + 11 = 5x + 8x

24x + 11 - 11 = 13x - 11

24x - 13x = 13x - 11 - 13x      Subtract 13x from both sides

11x = -11

11x/11 = -11/11                      Divide both sides by 11

x = -1 Answer.

Now input the value in the equation to verify the answer,

24x + 11 = 5x + 8x

24(-1) + 11 = 5(-1) + 8(-1)

-24 + 11 = -5 -8

-13 = -13

LHS=RHS

proved.

givingiswinning's profile pic

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

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24x + 11 = 5x + 8x

24x+11=13x             

11x+11=0                  

11x=-11                    

x=-1                

zumba96's profile pic

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

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Since you are solving for x always separate the variable 

24x + 11 = 5x + 8x

Since there is only one number and 3 numbers of the variable isolate the number and then move on to the variable
11=5x+8x-24x
11=-11x
divide by -11
x=-1
jess1999's profile pic

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

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24x + 11 = 5x + 8x

First combine the like terms ( 5x and 8x )

By combining the like terms, your equation should look like

24x + 11 = 13x now subtract 11 on both sides

By subtracting , your equation should look like

24x = 13x - 11 now subtract 13x on both sides

By subtracting, your equation should look like

11x = -11 now divide 11 on both sides

By dividing your answer should be

x = -1 which is your answer

nisarg's profile pic

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

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24x + 11 = 5x + 8x

24x+11=13x              add x's together

11x+11=0                  subtract 13x from both sides

11x=-11                    subtract 11 from both sides

x=-1                         divide both sides by 11

atyourservice's profile pic

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

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24x + 11 = 5x + 8x

combine the like terms:

24x + 11 = 13x

subtract 24x from both sides:

11 = 13x- 24x

combine like terms once again:

11 = -11x

divide by -11 since we are solving for x

11/-11 = -11x/-11

-1 = x

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