5) 8-5-43: 155

5) $$8\frac{4}{15}-5\frac{2}{5}x=4\frac{2}{3}$$

$$\frac{124}{15}-\frac{27}{5}x=\frac{14}{3}$$

$$-\frac{27}{5}x=\frac{14}{3}-\frac{124}{15}$$

$$-\frac{27}{5}x=\frac{70}{15}-\frac{124}{15}$$

$$-\frac{27}{5}x=-\frac{54}{15}$$

$$\frac{27}{5}x=\frac{54}{15}$$

$$x=\frac{54}{15}:\frac{27}{5}$$

$$x=\frac{54}{15} \cdot \frac{5}{27}$$

$$x=\frac{2 \cdot 27 \cdot 5}{3 \cdot 5 \cdot 27}=\frac{2}{3}$$

Ответ: $$\frac{2}{3}$$