Question

2x + 7 - 5x + 8 = 3(5 + 6x) - 12x
use the sketch tool or paper if it helps with your thinking.

Explanation:

Step1: Simplify left side

Combine like terms: \(2x - 5x + 7 + 8 = -3x + 15\)

Step2: Simplify right side

Distribute and combine: \(3\times5 + 3\times6x - 12x = 15 + 18x - 12x = 15 + 6x\)

Step3: Set equal and solve

\(-3x + 15 = 15 + 6x\)
Subtract \(15\) from both sides: \(-3x = 6x\)
Subtract \(6x\) from both sides: \(-9x = 0\)
Divide by \(-9\): \(x = 0\)

Answer:

\(x = 0\)