Question

solve for x
6(x - 1) = 9(x + 2)
○ x = -8
○ x = -3
○ x = 3
○ x = 8

Explanation:

Step1: Expand both sides

Using the distributive property \(a(b + c)=ab+ac\), we expand the left - hand side \(6(x - 1)\) to get \(6x-6\) and the right - hand side \(9(x + 2)\) to get \(9x + 18\). So the equation becomes \(6x-6=9x + 18\).

Step2: Move like terms together

Subtract \(6x\) from both sides of the equation: \(6x-6-6x=9x + 18-6x\), which simplifies to \(-6 = 3x+18\). Then subtract 18 from both sides: \(-6-18=3x+18 - 18\), so \(-24 = 3x\).

Step3: Solve for x

Divide both sides of the equation \(-24 = 3x\) by 3: \(\frac{-24}{3}=\frac{3x}{3}\), which gives \(x=-8\).

Answer:

\(x = - 8\) (corresponding to the option \(x=-8\))