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Question

Solve each of the following equations and verify the answer in each case:
6(1 − 4x) + 7(2 + 5x) = 53

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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, 11x11= 3311 [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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