Решите уравнение: (x-1)/(x+2)=(2x-1)/(2x+1).

\[\frac{x - 1^{\backslash 2x + 1}}{x + 2} = \frac{2x - 1^{\backslash x + 2}}{2x + 1},\ \ \]

\[x \neq - 2,\ \ x \neq - \frac{1}{2}\]

\[(x - 1)(2x + 1) =\]

\[= (2x - 1)(x + 2)\]

\[- x - 4x + x = - 2 + 1\]

\[- 4x = - 1\]

\[x = \frac{1}{4}.\]

\[Ответ:x = \frac{1}{4}.\]