Problema Solution

If a#b and 1/x + 1/a = 1/b,then x=_____

I was lookin for the logic behind this equation or and explaination as to how I solve for x. I do have the answer ab/a-b, just looking for the logic. Thanks Whitley.

Answer provided by our tutors

1/x + 1/a = 1/b

1/x = 1/b - 1/a

1/x = a/ab - b/ab

1/x = (a - b)/ab

Take reciprocal of both.

x = ab/(a - b)