\[\left( 5\frac{7}{9} - x \right) + 2\frac{3^{\backslash 3}}{4} = 3\frac{5}{12}\]
\[5\frac{7}{9} - x = 3\frac{5}{12} - 2\frac{9}{12}\]
\[x = 5\frac{7}{9} - \frac{8}{12} = 5\frac{7}{9} - \frac{2^{\backslash 3}}{3} =\]
\[= 5\frac{7}{9} - \frac{6}{9}\]
\[x = 5\frac{1}{9}.\]