Add \(7\) to both sides.
\[\frac{5x}{4}=\frac{1}{2}+7\]
Simplify \(\frac{1}{2}+7\) to \(\frac{15}{2}\).
\[\frac{5x}{4}=\frac{15}{2}\]
Multiply both sides by \(4\).
\[5x=\frac{15}{2}\times 4\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[5x=\frac{15\times 4}{2}\]
Simplify \(15\times 4\) to \(60\).
\[5x=\frac{60}{2}\]
Simplify \(\frac{60}{2}\) to \(30\).
\[5x=30\]
Divide both sides by \(5\).
\[x=\frac{30}{5}\]
Simplify \(\frac{30}{5}\) to \(6\).
\[x=6\]
x=6
