a/x-b + b/x-a =2,x is not equal to a,b
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a/x-b + b/x-a =2
a/x-b + b/x-a - 2 = 0
a/x-b - 1 + b/x-a - 1 = 0
(a - x + b) / (x - b) + (b - x + a) / (x - a) = 0
(a - x + b) [(1/(x - b)) + (1/(x - a))] = 0
a + b - x = 0 and 1/(x - b)) + (1/(x - a) = 0
-x = -(a + b) and x - a + x - b = (x - a)(x - b)
× 0
x = a + b and 2x - (a + b) = 0
x = a + b and 2x = a + b
x = a + b and x = (a + b) / 2
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