Question

An equation is shown below:

6(2x – 11) + 15 = 3x + 12

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)

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Answer 1

x = 7

Explanation:

Distribute -

12x − 66 + 15 = 3x + 12

Combine Numbers and Variables -

12x - 51 = 3x +12

Get x on one side (isolate x) -

9x - 51 = 12

9x = 63

Divide 9 -

x =7