Solve: 2x-3/x-2 +2x-7/x-4 = 5 1/3 (mixed fraction) (x is not equal to 2 and 4)
(2x - 3)/(x - 2) + (2x - 7)/(x - 4) = 0
=> [(2x - 3)(x - 4) + (2x - 7)(x - 2)] / [(x - 2)(x - 4)] = 16/3
=> [(2x2 - 11x + 12) + (2x2 - 11x +14)] / (x2 - 6x + 8) = 16
=> (4x2 - 22x + 26) (3) = (16) (x2 - 6x - 8)
=> 12x2 - 66x + 78 = 16x2 - 96x + 128
=> 4x2 - 30x + 50 = 0
=> 4x2 - 20x - 10x + 50 = 0
=> 4x(x - 5) - 10(x - 5) = 0
=> (4x - 10)(x - 5) = 0
=> 4x - 10 = 0 or x - 5 = 0
=> x = 5/2 or x = 5...
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