\(3m=5m-\frac{8}{5}\)
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.