Question

solve for x.
6(x - 1) = 9(x + 2)
options: x = -3; x = 8; x = 3; x = -8

Explanation:

Step1: Expand both sides

Expand \(6(x - 1)\) to get \(6x - 6\), and expand \(9(x + 2)\) to get \(9x + 18\). So the equation becomes \(6x - 6 = 9x + 18\).

Step2: Move terms with x to one side

Subtract \(6x\) from both sides: \(-6 = 3x + 18\).

Step3: Solve for x

Subtract 18 from both sides: \(-24 = 3x\). Then divide both sides by 3: \(x = -8\).

Answer:

\(x = -8\)