Решите уравнение: 4/9*x+14=1/6*x+9.

\[\frac{4}{9}x + 14 = \frac{1}{6}x + 9\]

\[\frac{8}{18}x - \frac{3}{18}x = 9 - 14\]

\[\frac{5}{18}x = - 5\]

\[x = - \frac{5 \cdot 18}{5} = - 18.\]