Question

solve the equation $2(6 - x) = 3(x - 1)$.

Explanation:

Step1: Expand both sides

Expand the left side: \(2(6 - x)=12 - 2x\). Expand the right side: \(3(x - 1)=3x - 3\). So the equation becomes \(12 - 2x = 3x - 3\).

Step2: Move terms with x to one side

Add \(2x\) to both sides: \(12=3x - 3+2x\), which simplifies to \(12 = 5x - 3\). Then add 3 to both sides: \(12 + 3=5x\), so \(15 = 5x\).

Step3: Solve for x

Divide both sides by 5: \(x=\frac{15}{5}=3\).

Answer:

\(x = 3\)