Question

Solve each of the following equations and verify the answer in each case:
3(x + 6) = 24

Answer 1

3(x + 6) = 24
⇒ $3\times x+3\times 6=24$ [On expanding the brackets]
⇒ 3x + 18 = 24
⇒ 3x + 18 $-$ 18 = 24 $-$ 18 [Subtracting 18 from both the sides]
⇒ 3x = 6
⇒ $\frac{3x}{3}=\frac{6}{3}$ [Dividing both the sides by 3]
⇒ x = 2
Verification:
Substituting x = 2 in the L.H.S.:
3(2 + 6) = 3 $\times$8 = 24 = R.H.S.
L.H.S. = R.H.S.
Hence, verified.