Question

solve for x.
2(x - 6) - 8x = -24
simplify your answer as much as possible.
x =

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b - c)=ab - ac\), we expand \(2(x - 6)\) to get \(2x-12\). So the equation becomes \(2x - 12-8x=-24\).

Step2: Combine like terms

Combine the \(x\)-terms: \(2x-8x=-6x\). The equation is now \(-6x - 12=-24\).

Step3: Add 12 to both sides

Add 12 to each side of the equation: \(-6x-12 + 12=-24 + 12\), which simplifies to \(-6x=-12\).

Step4: Divide by -6

Divide both sides by \(-6\): \(\frac{-6x}{-6}=\frac{-12}{-6}\), so \(x = 2\).

Answer:

\(x = 2\)