\[\frac{11}{24}x + 7\frac{1^{\backslash 8}}{3} = 9\frac{5^{\backslash 3}}{8}\]
\[\frac{11}{24}x = 9\frac{15}{24} - 7\frac{8}{24}\]
\[\frac{11}{24}x = 2\frac{7}{24}\]
\[x = \frac{55 \cdot 24}{24 \cdot 11}\]
\[x = 5.\]