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Question
Solve the following equation and verify the answer:
6(1 − 4x) + 7(2 + 5x) = 53
Solution
6(1 − 4x) + 7(2 + 5x) = 53
or, 6 × 1 − 6 × 4x + 7 × 2 + 7 × 5x = 53 [On expanding the brackets]
or, 6 − 24x + 14 + 35x = 53
or, 11x + 20 = 53
or, 11x + 20 − 20 = 53 − 20 [Subtracting 20 from both the sides]
or, 11x = 33
or, `(11x)/11=33/11` [Dividing both the sides by 11]
or, x = 3
Verification:
Substituting x = 3 in the L.H.S.:
6( 1 − 4 × 3) + 7(2 + 5 × 3)
⇒ 6(1 − 12) + 7(2 + 15)
⇒ 6(−11) + 7(17)
⇒ −66 + 119 = 53 = R.H.S.
L.H.S. = R.H.S.
Hence, verified.
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