a) $\frac{1}{2}$ x - $\frac{7}{6}$ = $\frac{19}{3}$ : $\frac{38}{9}$
⇔ $\frac{1}{2}$ x - $\frac{7}{6}$ = $\frac{19}{3}$ . $\frac{9}{38}$
⇔ $\frac{1}{2}$ x - $\frac{7}{6}$ = $\frac{3}{2}$
⇔ $\frac{1}{2}$ x = $\frac{3}{2}$ + $\frac{7}{6}$
⇔ $\frac{1}{2}$ x = $\frac{8}{3}$
⇔ x = $\frac{8}{3}$ : $\frac{1}{2}$
⇔ x = $\frac{16}{3}$
b) 3,5x + 1 $\frac{1}{5}$ = 1 $\frac{6}{5}$
⇔ 3,5x + $\frac{6}{5}$ = 1 $\frac{6}{5}$
⇔ 3,5x = 1 $\frac{6}{5}$ - $\frac{6}{5}$
⇔ 3,5x = 1
⇔ x = $\frac{1}{3,5}$ = $\frac{2}{7}$
c) $\frac{5}{4}$ x = 20
⇔ x = 20 : $\frac{5}{4}$
⇔ x = 20 . $\frac{4}{5}$
⇔ x = 16