Factor out the common term \(2\).
\[\frac{2x-1}{3}+\frac{2(2x+1)}{2}-x+\frac{7}{2}=3x\]
Cancel \(2\).
\[\frac{2x-1}{3}+2x+1-x+\frac{7}{2}=3x\]
Simplify \(\frac{2x-1}{3}+2x+1-x+\frac{7}{2}\) to \(\frac{2x-1}{3}+x+\frac{9}{2}\).
\[\frac{2x-1}{3}+x+\frac{9}{2}=3x\]
Multiply both sides by \(3\).
\[2x-1+3x+\frac{27}{2}=9x\]
Simplify \(2x-1+3x+\frac{27}{2}\) to \(5x+\frac{25}{2}\).
\[5x+\frac{25}{2}=9x\]
Subtract \(5x\) from both sides.
\[\frac{25}{2}=9x-5x\]
Simplify \(9x-5x\) to \(4x\).
\[\frac{25}{2}=4x\]
Divide both sides by \(4\).
\[\frac{\frac{25}{2}}{4}=x\]
Simplify \(\frac{\frac{25}{2}}{4}\) to \(\frac{25}{2\times 4}\).
\[\frac{25}{2\times 4}=x\]
Simplify \(2\times 4\) to \(8\).
\[\frac{25}{8}=x\]
Switch sides.
\[x=\frac{25}{8}\]
Decimal Form: 3.125
x=25/8
