Simplify \(\frac{5}{3}x\) to \(\frac{5x}{3}\).
\[-\frac{5x}{3}=-15\]
Multiply both sides by \(3\).
\[-5x=-15\times 3\]
Simplify \(15\times 3\) to \(45\).
\[-5x=-45\]
Divide both sides by \(-5\).
\[x=\frac{-45}{-5}\]
Two negatives make a positive.
\[x=\frac{45}{5}\]
Simplify \(\frac{45}{5}\) to \(9\).
\[x=9\]
x=9