Just an equation

$\frac{9x + 7}{2}$ $- [x -$ $\frac{x - 2}{7}]$ $= 36$

$\frac{9x + 7}{2}$ $- x +$ $\frac{x - 2}{7}$ $= 36$

$\frac{9x + 7}{2}$ $=$ $\frac{63x + 49}{14}$

$x =$ $\frac{14x}{14}$

$\frac{x - 2}{7}$ $=$ $\frac{2x - 4}{14}$

$\frac{63x + 49}{14}$ $-$ $\frac{14x}{14}$ $+$ $\frac{2x - 4}{14}$ $= 36$

$63 - 14 + 2 = 51$

$49 - 4 = 45$

$\frac{51x + 45}{14}$ $= 36$

$51x + 45 = 36 \times 14$

$51x + 45 = 504$

$51x = 504 - 45$

$51x = 459$

$\frac{51x}{51}$ $=$ $\frac{459}{51}$

$x =$ $\frac{459}{51}$

$x = \fbox{9}$