Question

Solve the following equation and verify the answer:

3(x + 6) + 2(x + 3) = 64

Answer 1

3(x + 6) + 2(x + 3) = 64

⇒ 3 × x + 3 × 6 + 2 × x + 2 × 3 = 64 [On expanding the brackets]
⇒ 3x + 18 + 2x + 6 = 64
⇒ 5x + 24 = 64
⇒ 5x + 24 - 24 = 64 -24 [Subtracting 24 from both the sides]
⇒ 5x = 40
⇒ \[\frac{5x}{5} = \frac{40}{5}\] [Dividing both the sides by 5]
⇒ x = 8
Verification:
Substituting x = 8 in the L.H.S.:

\[3(8 + 6) + 2(8 + 3)\]
\[3(14) + 2(11)\]
\[42 + 22 = 64 = R . H . S .\]

L.H.S. = R.H.S.
Hence, verified.