Multiply both sides by the Least Common Denominator: \(x(16-x)\).
\[5(16-x)-3x=0\]
Simplify.
\[80-8x=0\]
Subtract \(80\) from both sides.
\[-8x=-80\]
Divide both sides by \(-8\).
\[x=\frac{-80}{-8}\]
Two negatives make a positive.
\[x=\frac{80}{8}\]
Simplify \(\frac{80}{8}\) to \(10\).
\[x=10\]
x=10
