Question

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

Answer 1

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

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

$\Rightarrow \frac{9x+7}{2}-\frac{6x+2}{7}=36$

$\Rightarrow \frac{63x+49-12x-4}{14}=36$

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

$\Rightarrow 51x+45=504‬$

$\Rightarrow 51x=405-45=459$

$\therefore x=\frac{459}{51}=9$