Question

solve the equation 12x - 15 = 6x + 9; options: x=4, x=-4, x=-2, x=2

Explanation:

Step1: Subtract \(6x\) from both sides

\(12x - 6x - 15 = 6x - 6x + 9\)
\(6x - 15 = 9\)

Step2: Add 15 to both sides

\(6x - 15 + 15 = 9 + 15\)
\(6x = 24\)

Step3: Divide by 6

\(\frac{6x}{6} = \frac{24}{6}\)
\(x = 4\)

Answer:

\(x = 4\) (corresponding to the first option "x = 4")