\[\frac{2}{3}(x + 9) = \frac{1}{6}x + 2\]
\[\frac{2}{3}x + 6 = \frac{1}{6}x + 2\]
\[\frac{2^{\backslash 2}}{3}x - \frac{1}{6}x = 2 - 6\]
\[\frac{3}{6}x = - 4\]
\[\frac{1}{2}x = - 4\]
\[x = - 4 \cdot 2\]
\[x = - 8.\]