Mathematics Question on Solving Equations having the Variable on both Sides

Question

Solve and check result: $8x + 4 = 3(x - 1) + 7$

Accepted Answer

$8x + 4 = 3(x - 1) + 7$
$8x + 4 = 3x - 3 + 7$
Transposing $3x$ to L.H.S and $4$ to R.H.S, we obtain
$8x - 3x = - 3 + 7 - 4$
$5x = - 7 + 7$
$x = 0$
$\Rightarrow$ L.H.S = $8x + 4$
= $8 × (0) + 4 = 4$
$\Rightarrow$ R.H.S = $3(x - 1) + 7$
= $3 (0 - 1) + 7$
= $- 3 + 7 = 4$
L.H.S. = R.H.S.

Hence, the result obtained above is correct.