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Question

Solve each of the following equations and verify the answer in each case:
16(3x − 5) − 10(4x − 8) = 40

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Solution

16(3x − 5) − 10(4x − 8) = 40
or, 16 × 3x - 16 × 5 -10 × 4x - 10 × (-8) = 40 [On expanding the brackets]
or, 48x - 80 - 40x + 80 = 40
or, 8x = 40
or, 8x8=408 [Dividing both the sides by 8]
or, x = 5
Verification:
Substituting x = 5 in the L.H.S.:

16(3 × 5 - 5) - 10( 4 × 5 - 8)16(15 - 5) - 10(20 - 8)16(10) -10(12)160 - 120 = 40 = R.H.S.

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

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