Question

-8x + 6x = -12

Explanation:

Step1: Combine like terms

Combine the \( x \)-terms on the left side: \(-8x + 6x = (-8 + 6)x = -2x\). So the equation becomes \(-2x = -12\).

Step2: Solve for \( x \)

Divide both sides of the equation \(-2x = -12\) by \(-2\) to isolate \( x \). Using the division property of equality, we have \( x=\frac{-12}{-2}\).

Step3: Simplify the fraction

Simplify \(\frac{-12}{-2}\), which equals \( 6 \).

Answer:

\( x = 6 \)