$$8\frac{4}{5}-5\frac{2}{5}x=4\frac{2}{3}$$
$$5\frac{2}{5}x = 8\frac{4}{5}-4\frac{2}{3}$$
$$5\frac{2}{5}x = 8\frac{12}{15}-4\frac{10}{15}$$
$$5\frac{2}{5}x = 4\frac{2}{15}$$
$$\frac{27}{5}x = \frac{62}{15}$$
$$x = \frac{62}{15} : \frac{27}{5}$$
$$x = \frac{62}{15} \cdot \frac{5}{27}$$
$$x = \frac{62}{3} \cdot \frac{1}{27}$$
$$x = \frac{62}{81}$$
Ответ: x = 62/81