[tex] \frac{x + 2}{x - 1} = \frac{2x - 3}{2x + 1} [/tex]
[tex](x + 2)(2x + 1) = (x - 1)(2x - 3)[/tex]
[tex]2 {x}^{2} + x + 4x + 2 = 2 {x}^{2} - 3x - 2x + 3[/tex]
[tex]2 {x}^{2} - 2 {x}^{2} + x + 4x + 3x + 2x = 3 - 2[/tex]
[tex]10x = 1[/tex]
[tex]x = \frac{1}{10}\:\epsilon\:\mathbb{R} [/tex]
