Simplify \(\frac{3}{6}\) to \(\frac{1}{2}\).
\[6x+\frac{1}{3}=x-\frac{1}{2}\]
Subtract \(x\) from both sides.
\[6x+\frac{1}{3}-x=-\frac{1}{2}\]
Simplify \(6x+\frac{1}{3}-x\) to \(5x+\frac{1}{3}\).
\[5x+\frac{1}{3}=-\frac{1}{2}\]
Subtract \(\frac{1}{3}\) from both sides.
\[5x=-\frac{1}{2}-\frac{1}{3}\]
Simplify \(-\frac{1}{2}-\frac{1}{3}\) to \(-\frac{5}{6}\).
\[5x=-\frac{5}{6}\]
Divide both sides by \(5\).
\[x=-\frac{\frac{5}{6}}{5}\]
Simplify \(\frac{\frac{5}{6}}{5}\) to \(\frac{5}{6\times 5}\).
\[x=-\frac{5}{6\times 5}\]
Simplify \(6\times 5\) to \(30\).
\[x=-\frac{5}{30}\]
Simplify \(\frac{5}{30}\) to \(\frac{1}{6}\).
\[x=-\frac{1}{6}\]
Decimal Form: -0.166667
x=-1/6
