Question

If the value of $x$ satisfying the equation $\left(\frac{1-2x}{7}\right)-\left(\frac{2-3x}{8}\right)=\frac{3}{2}+\frac{x}{4}$ is $-m$.Find $m$

Answer 1

$\frac{1}{7}-\frac{2}{8}-\frac{2x}{7}+\frac{3x}{8}-\frac{x}{4}=\frac{3}{2}$

$\Rightarrow \frac{-3}{28}-\frac{9x}{56}-\frac{3}{2}=0$

$\Rightarrow \frac{9x}{56}=\frac{-45}{28}$

$\Rightarrow x=-10$