Решение:
$$ \frac{2}{3}x + 3\frac{4}{5} = 4\frac{2}{3} $$
$$ \frac{2}{3}x + \frac{19}{5} = \frac{14}{3} $$
$$ \frac{2}{3}x = \frac{14}{3} - \frac{19}{5} $$
$$ \frac{2}{3}x = \frac{70}{15} - \frac{57}{15} $$
$$ \frac{2}{3}x = \frac{13}{15} $$
$$ x = \frac{13}{15} * \frac{3}{2} $$
$$ x = \frac{39}{30} = \frac{13}{10} = 1,3 $$
Ответ: x = 1,3