\[\left( x + 7\frac{5}{8} \right) - 4\frac{13^{\backslash 2}}{24} = 5\frac{1^{\backslash 3}}{16}\]
\[x + 7\frac{5^{\backslash 6}}{8} = 5\frac{3}{48} + 4\frac{26}{48}\]
\[x = 9\frac{29}{48} - 7\frac{30}{48} = 8\frac{77}{48} - 7\frac{30}{48}\]
\[x = 1\frac{47}{48}.\]