Question

Solve :
$\frac{9x+7}{2}-(x-\frac{x-2}{7})=-36$

Answer 1

$\left(\frac{9x+7}{2}\right)-(x-\frac{x-2}{7})=-36$

$\left(\frac{9x+7}{2}\right)-\left(\frac{7x-x+2}{7}\right)=-36$

$\left(\frac{9x+7}{2}\right)-\left(\frac{6x+2}{7}\right)=-36$

$\frac{7(9x+7)-2(6x+2)}{14}=-36$

$63x+49-12x-4=-36\times 14$

$51x+45=-504$

$51x=-504-45$

$51x=-549$

$x=-\frac{549}{51}=-\frac{183}{17}$