Вывести в общий знаменатель 2х + 1 3 7х ____ - __ = __ 2 4 8

$2x+ \frac{1}{2} - \frac{3}{4} = \frac{7x}{8} \\ \\ 2x+ \frac{1*4}{2*4} - \frac{3*2}{4*2} = \frac{7x}{8} \\ \\ 2x + \frac{4-6}{8} = \frac{7x}{8} \\ \\ 2x- \frac{2}{8} = \frac{7x}{8} \\ \\$
8*2x - 2 = 7x
16x-7x=2
9x=2
x= $\frac{2}{9}$
Проверим:

$2* \frac{2}{9} + \frac{1}{2} - \frac{3}{4} = \frac{7* \frac{2}{9} }{8} \\ \\ \frac{4*4}{4*9} + \frac{18*1}{18*2} - \frac{3*9}{4*9} = \frac{14}{9} * \frac{1}{8} \\ \\ \frac{16+18-27}{36} = \frac{7*1}{9*4} \\ \\ \frac{7}{36} = \frac{7}{36}$