Cross multiply.
\[(2x+3)(3x+2)=(3x-1)\times 2x-\]
Expand.
\[6{x}^{2}+4x+9x+6=(3x-1)\times 2x-\]
Simplify \(6{x}^{2}+4x+9x+6\) to \(6{x}^{2}+13x+6\).
\[6{x}^{2}+13x+6=(3x-1)\times 2x-\]
Subtract \(13x\) from both sides.
\[6{x}^{2}+6=(3x-1)\times 2x+13x\]
Regroup terms.
\[6{x}^{2}+6=2x(3x-1)+13x\]
Expand.
\[6{x}^{2}+6=6{x}^{2}-2x+13x\]
Simplify \(6{x}^{2}-2x+13x\) to \(6{x}^{2}+11x\).
\[6{x}^{2}+6=6{x}^{2}+11x\]
Cancel \(6{x}^{2}\) on both sides.
\[6=11x\]
Divide both sides by \(11\).
\[\frac{6}{11}=x\]
Switch sides.
\[x=\frac{6}{11}\]
Decimal Form: 0.545455
x=6/11
