\[4\frac{5}{14} - \left( x - 7\frac{3}{14} \right) = 2\frac{9}{14}\]
\[x - 7\frac{3}{14} = 4\frac{5}{14} - 2\frac{9}{14}\]
\[x = 3\frac{19}{14} - 2\frac{9}{14} + 7\frac{3}{14}\]
\[x = 8\frac{19 - 9 + 3}{14} = 8\frac{13}{14}.\]