Решите уравнение: 2/5*x+5/6=1/6-7/25*x.

\[\frac{2}{5}x + \frac{5}{6} = \frac{1}{6} - \frac{7}{25}x\]

\[\frac{2^{\backslash 5}}{5}x + \frac{7}{25}x = \frac{1}{6} - \frac{5}{6}\]

\[\frac{10 + 7}{25}x = - \frac{4}{6}\]

\[\frac{17}{25}x = - \frac{2}{3}\]

\[x = - \frac{2}{3}\ :\frac{17}{25} = - \frac{2}{3} \cdot \frac{25}{17}\]

\[x = - \frac{50}{51}.\]