\[4\frac{2}{15} - 3\frac{1}{9}x = 1\frac{4^{\backslash 3}}{5}\]
\[\frac{28}{9}x = \frac{62}{5} - \frac{27}{15}\]
\[\frac{28}{9}x = \frac{35}{15}\]
\[x = \frac{35 \cdot 9}{15 \cdot 28} = \frac{3}{4}\]
\[x = \frac{3}{4}.\]