Решите уравнение: (x-2)/5-(3x+2)/6=2/3-x.

\[\frac{x - 2}{5} - \frac{3x + 2}{6} = \frac{2}{3} - x\ \ \ \ | \cdot 30\]

\[6(x - 2) - 5(3x + 2) = 2 \cdot 10 - 30x\]

\[6x - 12 - 15x - 10 = 20 - 30x\]

\[- 9x + 30x = 20 + 22\]

\[21x = 42\]

\[x = 2.\]