\[4\frac{5}{12} - 5\frac{3}{5}x = 2\frac{2^{\backslash 4}}{3}\]
\[\frac{28}{5}x = \frac{53}{12} - \frac{32}{12}\]
\[\frac{28}{5}x = \frac{21}{12}\]
\[x = \frac{21}{12} \cdot \frac{5}{28}\]
\[x = \frac{5}{16}.\]