Решим уравнение:
$$ \frac{4}{5}-\left(x+\frac{1}{60}\right)=\frac{2}{3} $$
$$ \frac{4}{5} - x - \frac{1}{60} = \frac{2}{3} $$
$$ -x = \frac{2}{3} - \frac{4}{5} + \frac{1}{60} $$
$$ -x = \frac{40}{60} - \frac{48}{60} + \frac{1}{60} $$
$$ -x = \frac{40 - 48 + 1}{60} $$
$$ -x = \frac{-7}{60} $$
$$ x = \frac{7}{60} $$
Ответ: $$x = \frac{7}{60}$$