Divide both sides by \(-3\).
\[2x-8=\frac{-12}{-3}\]
Two negatives make a positive.
\[2x-8=\frac{12}{3}\]
Simplify \(\frac{12}{3}\) to \(4\).
\[2x-8=4\]
Add \(8\) to both sides.
\[2x=4+8\]
Simplify \(4+8\) to \(12\).
\[2x=12\]
Divide both sides by \(2\).
\[x=\frac{12}{2}\]
Simplify \(\frac{12}{2}\) to \(6\).
\[x=6\]
x=6