Question

Solve $\frac{2m}{3}+8=\frac{m}{2}-1$ for the value of $m$.

Answer 1

Given, $\frac{2m}{3}+8=\frac{m}{2}-1$

$\Rightarrow \frac{2m+24}{3}=\frac{m-2}{2}$

On cross multiplying, we get

$2(2m+24)=3(m-2)$

$\Rightarrow 4m+48=3m-6$

Transpose $m$ terms on one side,

$4m-3m=-6-48$

$\Rightarrow m=-54$