Question

(07.03 MC) An equation is shown below: 9(3x − 16) + 15 = 6x − 24 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

Answer: See steps and explanation below. The value 5 makes the equation true.

9(3x - 16) + 15 = 6x - 24                Distributive Property

27x - 144 + 15 = 6x - 24                Combine like terms

27x - 129 = 6x - 24                       Subtract 6x from both sides

21x - 129 = -24                              Add 129 to both sides

21x = 105                                      Divide both sides by 21

x = 5                                             Answer!