Question

Solve and check result: $3m=5m-\frac{8}{5}$

Answer 1

$3m=5m-\frac{8}{5}$

Transposing $5m$ to L.H.S, we obtain
$3m-5m=-\frac{8}{5}$
$-2m=-\frac{8}{5}$
Dividing both sides by $- 2$, we obtain
$m$ = $\frac{4}{5}$
L.H.S = $3m$

= $3× \frac{4}{5}$ = $\frac{12}{5}$

R.H.S =$5m-\frac{8}{5}$

= $5×\frac{4}{5}-\frac{8}{5}$ = $\frac{12}{5}$

L.H.S. = R.H.S.

Hence, the result obtained above is correct.