Cross multiply.
\[(2x+3)(3x+2)=(3x-1)(2x-1)\]
Expand.
\[6{x}^{2}+4x+9x+6=6{x}^{2}-3x-2x+1\]
Simplify \(6{x}^{2}+4x+9x+6\) to \(6{x}^{2}+13x+6\).
\[6{x}^{2}+13x+6=6{x}^{2}-3x-2x+1\]
Simplify \(6{x}^{2}-3x-2x+1\) to \(6{x}^{2}-5x+1\).
\[6{x}^{2}+13x+6=6{x}^{2}-5x+1\]
Cancel \(6{x}^{2}\) on both sides.
\[13x+6=-5x+1\]
Add \(5x\) to both sides.
\[13x+6+5x=1\]
Simplify \(13x+6+5x\) to \(18x+6\).
\[18x+6=1\]
Subtract \(6\) from both sides.
\[18x=1-6\]
Simplify \(1-6\) to \(-5\).
\[18x=-5\]
Divide both sides by \(18\).
\[x=-\frac{5}{18}\]
Decimal Form: -0.277778
x=-5/18
