Question

solve 3(x - 4) = 12x

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b - c)=ab - ac\), we get \(3(x - 4)=3x-12\). So the equation becomes \(3x - 12 = 12x\).

Step2: Subtract \(3x\) from both sides

Subtract \(3x\) from each side: \(3x-3x - 12=12x - 3x\), which simplifies to \(- 12 = 9x\).

Step3: Solve for \(x\)

Divide both sides by \(9\): \(x=\frac{-12}{9}=\frac{-4}{3}\).

Answer:

\(x = -\frac{4}{3}\)