Simplify \(\frac{3}{6}\) to \(\frac{1}{2}\).
\[3x+\frac{2}{3}+1=x-\frac{1}{2}\]
Simplify \(3x+\frac{2}{3}+1\) to \(3x+\frac{5}{3}\).
\[3x+\frac{5}{3}=x-\frac{1}{2}\]
Subtract \(x\) from both sides.
\[3x+\frac{5}{3}-x=-\frac{1}{2}\]
Simplify \(3x+\frac{5}{3}-x\) to \(2x+\frac{5}{3}\).
\[2x+\frac{5}{3}=-\frac{1}{2}\]
Subtract \(\frac{5}{3}\) from both sides.
\[2x=-\frac{1}{2}-\frac{5}{3}\]
Simplify \(-\frac{1}{2}-\frac{5}{3}\) to \(-\frac{13}{6}\).
\[2x=-\frac{13}{6}\]
Divide both sides by \(2\).
\[x=-\frac{\frac{13}{6}}{2}\]
Simplify \(\frac{\frac{13}{6}}{2}\) to \(\frac{13}{6\times 2}\).
\[x=-\frac{13}{6\times 2}\]
Simplify \(6\times 2\) to \(12\).
\[x=-\frac{13}{12}\]
Decimal Form: -1.083333
x=-13/12
