Решение:

$$\frac{4}{5} - (x + \frac{1}{60}) = \frac{2}{3}$$ $$x + \frac{1}{60} = \frac{4}{5} - \frac{2}{3} = \frac{12}{15} - \frac{10}{15} = \frac{2}{15}$$ $$x = \frac{2}{15} - \frac{1}{60} = \frac{8}{60} - \frac{1}{60} = \frac{7}{60}$$

Ответ: \(x = \frac{7}{60}\)