\[2\frac{1}{3}x - 2\frac{3^{\backslash 3}}{5} = 1\frac{2}{15}\]
\[\frac{7}{3}x = 1\frac{2}{15} + 2\frac{9}{15}\]
\[\frac{7}{3}x = 3\frac{11}{15}\]
\[x = \frac{56}{15} \cdot \frac{3}{7} = \frac{8}{5}\]
\[x = 1\frac{3}{5}.\]