Решите уравнение: 5/6*(1/3*x-1/5)=3x+3 1/3.

\[\frac{5}{6} \cdot \left( \frac{1}{3}x - \frac{1}{5} \right) = 3x + 3\frac{1}{3}\]

\[\frac{5}{18}x - \frac{1}{6} = 3x + \frac{10}{3}\]

\[\frac{5}{18}x - 3x = \frac{10}{3} + \frac{1}{6}\]

\[\frac{5 - 54}{18}x = \frac{20 + 1}{6}\]

\[- \frac{49}{18}x = \frac{21}{6}\]

\[x = - \frac{21 \cdot 18}{6 \cdot 49}\]

\[x = - \frac{9}{7}\]

\[Ответ:\ x = - 1\frac{2}{7}\text{.\ }\]