Multiply both sides by \(5\).
\[8x-15=5x\]
Subtract \(8x\) from both sides.
\[-15=5x-8x\]
Simplify \(5x-8x\) to \(-3x\).
\[-15=-3x\]
Divide both sides by \(-3\).
\[\frac{-15}{-3}=x\]
Two negatives make a positive.
\[\frac{15}{3}=x\]
Simplify \(\frac{15}{3}\) to \(5\).
\[5=x\]
Switch sides.
\[x=5\]
x=5