Factor out the common term \(2\).
\[\frac{3x+2}{5}=\frac{2(2x-1)}{2}\]
Cancel \(2\).
\[\frac{3x+2}{5}=2x-1\]
Multiply both sides by \(5\).
\[3x+2=10x-5\]
Subtract \(3x\) from both sides.
\[2=10x-5-3x\]
Simplify \(10x-5-3x\) to \(7x-5\).
\[2=7x-5\]
Add \(5\) to both sides.
\[2+5=7x\]
Simplify \(2+5\) to \(7\).
\[7=7x\]
Divide both sides by \(7\).
\[1=x\]
Switch sides.
\[x=1\]
x=1
