Question

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

Explanation:

Step1: Simplify both sides

Left side: \(2x + 7 - 5x + 8 = (2x - 5x)+(7 + 8)= -3x + 15\)
Right side: \(3(5 + 6x)-12x = 15 + 18x - 12x = 15 + 6x\)
Equation becomes: \(-3x + 15 = 15 + 6x\)

Step2: Move terms with x to one side

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

Step3: Solve for x

Divide both sides by -9: \(x=\frac{0}{-9}=0\)

Answer:

\(x = 0\)