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)

ANSWERS

2015-11-04 09:28:43

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 = [latex] frac{72}{12} [/latex] [ 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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