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 = 32

L.H.S = 4z + 3 = 4 x (3/2) + = 6 + 3 = 9

R.H.S = 6 + 2z = 6 + 2 x (3/2) = 6 + 3 = 9

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

Hence, the result obtained above is correct.