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Question
Solve the following equation and verify the answer:
3(x + 6) = 24
Solution
3(x + 6) = 24
⇒ 3 × x + 3 × 6 = 24 [On expanding the brackets]
⇒ 3x + 18 = 24
⇒ 3x + 18 − 18 = 24 − 18 [Subtracting 18 from both the sides]
⇒ 3x = 6
⇒ `(3x)/3=6/3` [Dividing both the sides by 3]
⇒ x = 2
Verification:
Substituting x = 2 in the L.H.S.:
3(2 + 6) = 3 ×8 = 24 = R.H.S.
L.H.S. = R.H.S.
Hence, verified.
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