Решите уравнение: 5/6*x+16=4/9*x+9.

\[\frac{5}{6}x + 16 = \frac{4}{9}x + 9\]

\[\frac{15}{18}x - \frac{8}{18}x = 9 - 16\]

\[\frac{7}{18}x = - 7\]

\[x = - \frac{7 \cdot 18}{7}\]

\[x = - 18.\]