SOLUTION: If a ≠ b and 1/x + 1/a = 1/b, then x = ?

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Question 764432: If a ≠ b and 1/x + 1/a = 1/b, then x = ?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply left and right sides by abx.

1%2Fx+%2B+1%2Fa+=+1%2Fb
abx%281%2Fx+%2B+1%2Fa%29+=+abx%281%2Fb%29
ab%2Bbx=ax
ax=ab%2Bbx
ax-bx=ab
%28a-b%29x=ab
highlight%28x=%28ab%29%2F%28a-b%29%29