x = 3 1/18 - 2 17/18 = x = 3 1/18 : 2 17/18 = x = 1 52/53 5 5/7 + 2/3 = 4 1/7

Решим уравнение:

$$x = 3 \frac{1}{18} - 2 \frac{17}{18} = \frac{55}{18} - \frac{53}{18} = \frac{2}{18} = \frac{1}{9}$$

$$x = 3 \frac{1}{18} : 2 \frac{17}{18} = \frac{55}{18} : \frac{53}{18} = \frac{55}{18} \cdot \frac{18}{53} = \frac{55}{53} = 1 \frac{2}{53}$$

$$x = 1 \frac{52}{53}$$

$$6 \cdot \frac{5}{7} + \frac{2}{3} = 4 \frac{1}{7}$$ - неверно!

Проверим:

$$6 \cdot \frac{5}{7} + \frac{2}{3} = \frac{30}{7} + \frac{2}{3} = \frac{30 \cdot 3 + 2 \cdot 7}{21} = \frac{90 + 14}{21} = \frac{104}{21} = 4 \frac{20}{21}$$

Ответ: $$x = \frac{1}{9}; x = 1 \frac{2}{53}; 4 \frac{20}{21}$$