Решите уравнение: (x+8)/3-(x-2)/5=2.

\[\frac{x + 8}{3} - \frac{x - 2}{5} = 2\ \ \ \ \ | \cdot 15\]

\[5 \cdot (x + 8) - 3 \cdot (x - 2) = 2 \cdot 15\]

\[5x + 40 - 3x + 6 = 30\]

\[2x = 30 - 40 - 6\]

\[2x = - 16\]

\[x = - 8\]

\[Ответ:\ x = - 8.\]