$\frac{5}{9}x - \frac{7}{4}x + \frac{17}{18}x = -\frac{1}{4}$
$\frac{20}{36}x - \frac{63}{36}x + \frac{34}{36}x = -\frac{1}{4}$
$-\frac{9}{36}x = -\frac{1}{4}$
$x = -\frac{1}{4} : (-\frac{9}{36})$
$x = -\frac{1}{4} * (-\frac{36}{9})$
$x = -\frac{1}{1} * (-\frac{9}{9})$
x = 1

$\frac{1}{6}x - 0,82 = \frac{3}{8}x - 1,37$
$\frac{1}{6}x - \frac{3}{8}x = -1,37 + 0,82$
$\frac{8}{48}x - \frac{18}{48}x = -0,55$
$-\frac{10}{48}x = -0,55$
$x = -\frac{11}{20} : (-\frac{5}{24})$
$x = \frac{11}{20} * \frac{24}{5}$
$x = \frac{11}{5} * \frac{6}{5}$
$x = \frac{66}{25} = \frac{264}{100} = 2,64$

$\frac{1}{9}x + \frac{7}{18}x - \frac{11}{27}x = 2\frac{1}{2}$
$\frac{6}{54}x + \frac{21}{54}x - \frac{22}{54}x = \frac{5}{2}$
$\frac{5}{54}x = \frac{5}{2}$
$x = \frac{5}{2} : \frac{5}{54}$
$x = \frac{5}{2} * \frac{54}{5}$
$x = \frac{1}{2} * \frac{54}{1}$
x = 27

$0,07 - 3\frac{1}{9}x = 0,26 - x$
$-3\frac{1}{9}x + x = 0,26 - 0,07$
$-2\frac{1}{9}x = 0,19$
$-\frac{19}{9}x = 0,19$
$x = \frac{19}{100} : (-\frac{19}{9})$
$x = \frac{19}{100} * (-\frac{9}{19})$
$x = \frac{1}{100} * (-\frac{9}{1})$
$x = -\frac{9}{100} = -0,09$