Simplify \(3\times \frac{x}{4}\) to \(\frac{3x}{4}\).
\[2x-\frac{1}{3}-\frac{3x}{4}=\frac{5}{6}\]
Simplify \(2x-\frac{1}{3}-\frac{3x}{4}\) to \(\frac{5x}{4}-\frac{1}{3}\).
\[\frac{5x}{4}-\frac{1}{3}=\frac{5}{6}\]
Add \(\frac{1}{3}\) to both sides.
\[\frac{5x}{4}=\frac{5}{6}+\frac{1}{3}\]
Simplify \(\frac{5}{6}+\frac{1}{3}\) to \(\frac{7}{6}\).
\[\frac{5x}{4}=\frac{7}{6}\]
Multiply both sides by \(4\).
\[5x=\frac{7}{6}\times 4\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[5x=\frac{7\times 4}{6}\]
Simplify \(7\times 4\) to \(28\).
\[5x=\frac{28}{6}\]
Simplify \(\frac{28}{6}\) to \(\frac{14}{3}\).
\[5x=\frac{14}{3}\]
Divide both sides by \(5\).
\[x=\frac{\frac{14}{3}}{5}\]
Simplify \(\frac{\frac{14}{3}}{5}\) to \(\frac{14}{3\times 5}\).
\[x=\frac{14}{3\times 5}\]
Simplify \(3\times 5\) to \(15\).
\[x=\frac{14}{15}\]
Decimal Form: 0.933333
x=14/15
