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3.
An equation is shown below:

8(2x - 14) + 13 = 4x - 27

Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)

Part B: What value of x makes the equation true? (4 points)

Respuesta :

8(2x - 14) + 13 = 4x - 27 

16x - 112 + 13 = 4x - 27  [ Open the parenthesis- distributive property ]

16x - 4x = -27 -13 + 112  
[ Put all the x terms to one side and the non-x terms on the other ]

12x = -40 + 112  [ Simplify ]

12x = 72  [ Further simplification ]

x = [tex] \frac{72}{12} [/tex]  [ Divide both sides by 12 ]

x = 6  [ Final answer ]

Part A:

{Shown above}

Part B:

x = 6 makes the equation true.

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