Question

b. $2x + 7 - 5x + 8 = 3(5 + 6x) - 12x$ $x = \square$

Explanation:

Step1: Simplify both sides

Left side: Combine like terms. \(2x - 5x + 7 + 8 = -3x + 15\)
Right side: Distribute and combine like terms. \(3\times5 + 3\times6x - 12x = 15 + 18x - 12x = 15 + 6x\)
So the equation becomes \(-3x + 15 = 6x + 15\)

Step2: Move variables to one side

Subtract \(-3x\) from both sides (or add \(3x\) to both sides). \(15 = 9x + 15\)

Step3: Solve for x

Subtract 15 from both sides. \(0 = 9x\)
Divide both sides by 9. \(x = 0\)

Answer:

\(x = 0\)