6(1-4x) +7(2+5x) =53 solve each of the following equations and verify the answer in each case
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On simplifying the bracket, we get
=> ( 6 × 1 ) - ( 6 × 4x ) + ( 7 × 2 ) + ( 7 × 5x ) = 53
=> 6 - 24x + 14 + 25x = 53
=> 20 + 11x = 53
Subtracing 20 from both sides, we get 20 + 11x - 20 = 53 - 20
11x = 53
Dividing both sides by 11, we get
=> 11x / 11 = 33 / 11
=> x = 3
Verification:
=> Substituting x = 3 in LHS, we get
=> 6 ( 1 - 4 × 3 ) + 7 ( 2 + 5 × 3 ) = 53
=> 6 ( 1 - 12 ) + 7 ( 2 + 15 ) = 53
=> 6 ( - 11 ) + 7 ( 17 ) = 53
=> - 66 + 119 = 53
=> 53 = 53
Therefore LHS = RHS
Hence, verified.
I hope this will help you dear..
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