SOLUTION: Rational Expression: -2/x = 3/x + 2

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Question 97206: Rational Expression:
-2/x = 3/x + 2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-2%2Fx+=+3%2F%28x+%2B+2%29 Start with the given equation


-2%28x+%2B+2%29+=+3x Cross multiply


-2x+-4+=+3x Distribute



-2x=3x%2B4Add 4 to both sides


-2x-3x=%2B4 Subtract 3x from both sides


-5x=4 Combine like terms on the left side


x=%284%29%2F%28-5%29 Divide both sides by -5 to isolate x



x=-4+%2F+5 Reduce

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Answer:
So our answer is x=-4+%2F+5 (which is x=-0.8 in decimal form)