$\frac{5}{6}x + 8 = \frac{1}{4}x - 6$
$\frac{5}{6}x - \frac{1}{4}x = -6 - 8$
$\frac{10}{12}x - \frac{3}{12}x = -14$
$\frac{7}{12}x = -14$
$x = -14 : \frac{7}{12}$
$x = -14 * \frac{12}{7}$
$x = -2 * \frac{12}{1}$
x = −24
Ответ: x = −24

1,5(2x + 5) + x = 3(0,5x − 7) + 3,5
3x + 7,5 + x = 1,5x − 21 + 3,5
4x − 1,5x = −17,5 − 7,5
2,5x = −25
x = −25 : 2,5
x = −10
Ответ: x = −10

$\frac{11}{18}x - \frac{2}{9} = \frac{5}{12}x + 1\frac{1}{3}$
$\frac{11}{18}x - \frac{5}{12}x = 1\frac{1}{3} + \frac{2}{9}$
$\frac{22}{36}x - \frac{15}{36}x = 1\frac{3}{9} + \frac{2}{9}$
$\frac{7}{36}x = 1\frac{5}{9}$
$x = \frac{14}{9} : \frac{7}{36}$
$x = \frac{14}{9} * \frac{36}{7}$
$x = \frac{2}{1} * \frac{4}{1}$
x = 8
Ответ: x = 8

$\frac{2}{3}(4\frac{1}{2}x - \frac{3}{5}) - \frac{5}{7}(\frac{7}{15}x - \frac{7}{9}) = -1\frac{32}{45}$
$\frac{2}{3} * \frac{9}{2}x - \frac{2}{3} * \frac{3}{5} - (\frac{5}{7} * \frac{7}{15}x - \frac{5}{7} * \frac{7}{9}) = -1\frac{32}{45}$
$\frac{1}{1} * \frac{3}{1}x - \frac{2}{1} * \frac{1}{5} - (\frac{1}{1} * \frac{1}{3}x - \frac{5}{1} * \frac{1}{9}) = -1\frac{32}{45}$
$3x - \frac{2}{5} - (\frac{1}{3}x - \frac{5}{9}) = -1\frac{32}{45}$
$3x - \frac{2}{5} - \frac{1}{3}x + \frac{5}{9} = -1\frac{32}{45}$
$2\frac{2}{3}x = -1\frac{32}{45} + \frac{2}{5} - \frac{5}{9}$
$\frac{8}{3}x = -1\frac{32}{45} + \frac{18}{45} - \frac{25}{45}$
$\frac{8}{3}x = -1\frac{14}{45} - \frac{25}{45}$
$\frac{8}{3}x = -1\frac{39}{45}$
$\frac{8}{3}x = -1\frac{13}{15}$
$\frac{8}{3}x = -\frac{28}{15}$
$x = -\frac{28}{15} : \frac{8}{3}$
$x = -\frac{28}{15} * \frac{3}{8}$
$x = -\frac{7}{5} * \frac{1}{2}$
$x = -\frac{7}{10}$
Ответ: $x = -\frac{7}{10}$