Question

Solve 4(-2x + 7) = 24 for x

Answer 1

Answer:

x=1/2

Step-by-step explanation:

Given -> 4(-2x+7)=24

Divide both sides by 4 -> -2x+7=6

Subtract both sides by 7 -> -2x=-1

Divide both sides by -2 -> x=1/2

So x=1/2

Answer 2

Answer:

x = 1/2

Step-by-step explanation:

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Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*(-2*x+7)-(24)=0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 4 • (7 - 2x) -  24  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  4 - 8x  =   -4 • (2x - 1)

Equation at the end of step  3  :

 -4 • (2x - 1)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    -4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    2x-1 = 0

Add  1  to both sides of the equation :

                     2x = 1

Divide both sides of the equation by 2:

                    x = 1/2