Question

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)

Answer 1

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 =
`(72)/(12)` [ Divide both sides by 12 ]

x = 6 [ Final answer ]

Part A:

{Shown above}

Part B:

x = 6 makes the equation true.