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Question

Solve each of the following equation and also check your result in each case:
x-(x-1)2=1-(x-2)3

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Solution

x-x-12=1-x-23or 2x-x+12=3-x+23or x+12=5-x3or 3x+3=10-2xor 5x=10-3or x=75Check:L.H.S.=75-75-12=75-15=65R.H.S.=1-75-23=1--315=65

L.H.S. = R.H.S. for x = 75

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