Question

Solve and check result: $x = \frac{4}{5}(x+10)$

Answer 1

$x = \frac{4}{5}(x+10)$
Multiplying both sides by $5$, we obtain
$5x = 4(x + 10)$
$5x = 4x + 40$
Transposing $4x$ to L.H.S, we obtain
$5x - 4x = 40$
$x = 40$
$\Rightarrow$ L.H.S = $x = 40$
$\Rightarrow$ R.H.S = $\frac{4}{5}(x+10)$

= $\frac{4}{5}(40+10)$

= $\frac{4}{5}×50 = 40$

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

Hence, the result obtained above is correct.