Question:
(x-3)/4 + ( x - 1 )/5 -( x - 2 )/3 = 1
Answer:
Given, (x - 3)/4 + (x - 1)/5 - (x - 2)/3 = 1
=> {15(x - 3) + 12(x - 1) - 20(x - 2)}/60 = 1 {LCM(3, 4, 5) = 60}
=> {15x - 45 + 12x - 12 - 20x + 40}/60 = 1
=> 15x - 45 + 12x - 12 - 20x + 40 = 60
=> 27x - 20x - 57 + 40 = 60
=> 7x - 17 = 60
=> 7x = 60 + 17
=> 7x = 77
=> x = 77/7
=> x = 11
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