Multiply both sides by \(6\) (the LCM of \(2, 3\)).
\[3(-2x+1)=2(x+1)\]
Expand.
\[-6x+3=2x+2\]
Add \(6x\) to both sides.
\[3=2x+2+6x\]
Simplify \(2x+2+6x\) to \(8x+2\).
\[3=8x+2\]
Subtract \(2\) from both sides.
\[3-2=8x\]
Simplify \(3-2\) to \(1\).
\[1=8x\]
Divide both sides by \(8\).
\[\frac{1}{8}=x\]
Switch sides.
\[x=\frac{1}{8}\]
Decimal Form: 0.125
x=1/8
