Question

Solve and check result: $4z + 3 = 6 + 2z$

Answer 1

$4z + 3 = 6 + 2z$
On transposing $2z$ to L.H.S and $3$ to R.H.S, we obtain
$4z - 2z = 6 - 3$
$2z = 3$
Dividing both sides by $2$, we obtain
$z$ = $\frac{3}{2}$
$\Rightarrow$ L.H.S = $4z + 3$
= $4 × (\frac{3}{2}) + 3$
=$6 + 3$ = $9$
$\Rightarrow$ R.H.S = $6 + 2z$
= $6 + 2 × (\frac{3}{2})$
= $6 + 3 = 9$
L.H.S. = R.H.S.

Hence, the result obtained above is correct.