$$\frac{ 2x-5 }{ 3x-1 } = \frac{ 2x-1 }{ 3x+2 }$$
$x = -\frac{11}{6} = -1\frac{5}{6} \approx -1.833333333$
$$\left(3x+2\right)\left(2x-5\right)=\left(3x-1\right)\left(2x-1\right)$$
$$6x^{2}-11x-10=\left(3x-1\right)\left(2x-1\right)$$
$$6x^{2}-11x-10=6x^{2}-5x+1$$
$$6x^{2}-11x-10-6x^{2}=-5x+1$$
$$-11x-10=-5x+1$$
$$-11x-10+5x=1$$
$$-6x-10=1$$
$$-6x=1+10$$
$$-6x=11$$
$$x=\frac{11}{-6}$$
$$x=-\frac{11}{6}$$
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