\[7\frac{9}{16} - \left( x - 2\frac{3}{16} \right) = 4\frac{11}{16}\]
\[x - 2\frac{3}{16} = 7\frac{9}{16} - 4\frac{11}{16} =\]
\[= 6\frac{25}{16} - 4\frac{11}{16}\]
\[x = 2\frac{14}{16} + 2\frac{3}{16}\]
\[x = 4\frac{17}{16}\]
\[x = 5\frac{1}{16}.\]