SOLUTION: Solve for a (steps would be appreciated) {{{(1)/(a)+(1)/(b)= (1)/(c)}}}

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Question 300921: Solve for a (steps would be appreciated)
%281%29%2F%28a%29%2B%281%29%2F%28b%29=+%281%29%2F%28c%29
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%281%29%2F%28a%29%2B%281%29%2F%28b%29=+%281%29%2F%28c%29
Multiply by abc.
bc%2Bac=ab
Move "a" terms on one side, everything else on the other.
ac-ab=-bc
Factor out the "a".
a%28c-b%29=-bc
a=-bc%2F%28c-b%29
a=bc%2F%28b-c%29
Assumption is that b-c doesn't equal zero.