\[8\frac{4}{15} - 5\frac{2}{5}x = 4\frac{2^{\backslash 5}}{3}\]
\[5\frac{2}{5}x = 7\frac{19}{15} - 4\frac{10}{15}\]
\[\frac{27}{5}x = 3\frac{9}{15}\]
\[x = \frac{54 \cdot 8}{15 \cdot 27}\]
\[x = \frac{2}{3}.\]