Question

9(3x – 16) + 15 = 6x – 24

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

Part B: What value of x makes the equation true?

Answer 1

Part A: Distribute the 9 to the 3x - 16.
Combine Like Terms.
Add 129 (the integer) to both sides.
Subtract 6x (the variable) from both sides.
Divide both sides by the variable coefficient (21).
Get a value for x.

Part B:
27x -144+15 = 6x -24
27x - 129 = 6x -24
27x = 6x+ 105
21x = 105
x = 5