Question

what is the solution to the equation 12(x + 5) = 4x?
x =

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b + c)=ab+ac\), we expand \(12(x + 5)\) to get \(12x+60\). So the equation becomes \(12x + 60=4x\).

Step2: Subtract \(12x\) from both sides

Subtract \(12x\) from each side: \(12x+60 - 12x=4x-12x\), which simplifies to \(60=-8x\).

Step3: Solve for \(x\)

Divide both sides by \(-8\): \(x=\frac{60}{-8}=-\frac{15}{2}=-7.5\).

Answer:

\(-7.5\) (or \(-\frac{15}{2}\))