SOLUTION: Solve for x: a/(x-3a)=b/(x+3b)

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Question 71059: Solve for x: a/(x-3a)=b/(x+3b)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
+a%2F%28x-3a%29+= b%2F%28x%2B3b%29
:
Cross multiply and you have:
b(x-3a) = a(x+3b)
:
bx - 3ab = ax + 3ab; multiplied what's inside the brackets
:
bx - ax = 3ab + 3ab; subtracted ax, and added 3ab to both sides
:
x(b - a) = 6ab; factored out x
:
x = %286ab%29%2F%28%28b-a%29%29; divided both sides by (b-a)