Mathematics Question on Solving Equations having the Variable on both Sides

Question

Solve and check result: $2x - 1 = 14 - x$

Accepted Answer

$2x - 1 = 14 - x$
Transposing $x$ to L.H.S and $1$ to R.H.S, we obtain
$2x + x = 14 + 1$
$3x = 15$
Dividing both sides by $3$ , we obtain
$x = 5$
$\Rightarrow$ L.H.S = $2x - 1$
= $2 \times (5) - 1$
= $10 - 1 = 9$
$\Rightarrow$ R.H.S = $14 - x$
= $14 - 5 = 9$
L.H.S. = R.H.S.

Hence, the result obtained above is correct.