\[\left( x - 9\frac{3^{\backslash 6}}{7} \right) + 5\frac{8^{\backslash 2}}{21} = 6\frac{5^{\backslash 3}}{14}\]
\[x - 9\frac{18}{42} = 6\frac{15}{42} - 5\frac{16}{42}\]
\[x = \frac{41}{42} + 9\frac{18}{42} = 9\frac{59}{42}\]
\[x = 10\frac{17}{42}.\]