SOLUTION: Solve and check each of the following equations for x. 3/x = 5/3 – 7/x

Algebra ->  Equations -> SOLUTION: Solve and check each of the following equations for x. 3/x = 5/3 – 7/x       Log On


   

Question 107304: Solve and check each of the following equations for x.
3/x = 5/3 – 7/x


Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%2Fx+=+5%2F3-7%2Fx+ Start with the given equation


3x%283%2Fx%29+=+3x%285%2F3-7%2Fx%29+ Multiply both sides by the LCD 3x


9=5x-21 Distribute and multiply



0=5x-21-9Subtract 9 from both sides


-5x=-21-9 Subtract 5x from both sides


-5x=-30 Combine like terms on the right side


x=%28-30%29%2F%28-5%29 Divide both sides by -5 to isolate x



x=6 Divide

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Answer:
So our answer is x=6