$\frac{2}{3}х + \frac{1}{2}х - \frac{3}{4} = 2 - \frac{1}{3}х + 2\frac{1}{4}х$
$\frac{8}{12}х + \frac{6}{12}х + \frac{4}{12}х - 2\frac{3}{12}х = 2 + \frac{3}{4}$
$\frac{8}{12}х + \frac{6}{12}х + \frac{4}{12}х - \frac{27}{12}х = \frac{11}{4}$
$-\frac{9}{12}х = \frac{11}{4}$
$х = \frac{11}{4} : -\frac{9}{12}$
$х = \frac{11}{4} * -\frac{4}{3}$
$х = -\frac{11}{3} = -3\frac{2}{3}$

$1 - 1\frac{1}{2}y + 3\frac{2}{5}y = 1\frac{1}{3}y - 2\frac{7}{15}y + 2\frac{1}{2}$
$-1\frac{1}{2}y + 3\frac{2}{5}y - 1\frac{1}{3}y + 2\frac{7}{15}y = 2\frac{1}{2} - 1$
$-1\frac{15}{30}y + 3\frac{12}{30}y - 1\frac{10}{30}y + 2\frac{14}{30}y = 1\frac{1}{2}$
$3\frac{1}{30}y = 1\frac{1}{2}$
$y = \frac{3}{2} : \frac{91}{30}$
$y = \frac{3}{2} * \frac{30}{91}$
$y = \frac{45}{91}$

$2 * (\frac{2}{5}z + 1) + 3\frac{1}{3} = 4 - \frac{1}{2} * (\frac{4}{5}z - 1)$
$\frac{4}{5}z + 2 + 3\frac{1}{3} = 4 - \frac{2}{5}z + \frac{1}{2}$
$\frac{4}{5}z + \frac{2}{5}z = 4 + \frac{1}{2} - 2 - 3\frac{1}{3}$
$\frac{6}{5}z = 2 + \frac{3}{6} - 3\frac{2}{6}$
$\frac{6}{5}z = -\frac{5}{6}$
$z = -\frac{5}{6} : \frac{6}{5}$
$z = -\frac{5}{6} * \frac{5}{6}$
$z = -\frac{25}{36}$

$5 - (1\frac{1}{2}u + \frac{1}{3}) * 6 = 2\frac{1}{3}u - 5\frac{1}{2}$
$5 - 9u - 2 = 2\frac{1}{3}u - 5\frac{1}{2}$
$-9u - 2\frac{1}{3}u = -5\frac{1}{2} - 5 + 2$
$-11\frac{1}{3}u = -8\frac{1}{2}$
$u = -\frac{17}{2} : -\frac{34}{3}$
$u = \frac{17}{2} * \frac{3}{34}$
$u = \frac{3}{4}$