Решение:
$$\frac{2x-1}{5x-1} = \frac{2x+1}{4} - \frac{3x-1}{6}$$
ОДЗ: $$x
eq \frac{1}{5}$$
$$\frac{2x-1}{5x-1} = \frac{3(2x+1) - 2(3x-1)}{12}$$
$$\frac{2x-1}{5x-1} = \frac{6x+3 - 6x+2}{12}$$
$$\frac{2x-1}{5x-1} = \frac{5}{12}$$
$$12(2x-1) = 5(5x-1)$$
$$24x - 12 = 25x - 5$$
$$-x = 7$$
$$x = -7$$
Ответ: x=-7