Найдите корень уравнения (x-1)/(5-x)=2/9.

\[\frac{x - 1}{5 - x} = \frac{2}{9}\]

\[9 \cdot (x - 1) = 2 \cdot (5 - x)\]

\[9x - 9 = 10 - 2x\]

\[9x + 2x = 10 + 9\]

\[11x = 19\]

\[x = \frac{19}{11}\]

\[x = 1\frac{8}{11}.\]