\[\frac{5}{18}x + 2\frac{1^{\backslash 3}}{2} = 10\frac{5}{6}\]
\[\frac{5}{18}x = 10\frac{5}{6} - 2\frac{3}{6}\]
\[\frac{5}{18}x = 8\frac{2}{6}\]
\[x = \frac{50}{6} \cdot \frac{18}{5}\]
\[x = 30.\]