\[\frac{4}{15}x + 2\frac{1^{\backslash 5}}{3} = 7\frac{8}{15}\]
\[\frac{4}{15}x = 7\frac{8}{15} - 2\frac{5}{15}\]
\[\frac{4}{15}x = 5\frac{3}{15}\]
\[x = \frac{78 \cdot 15}{15 \cdot 4} = \frac{39}{2}\]
\[x = 19\frac{1}{2}.\]