SOLUTION: Solve: 3/x-1=6/x+2

Question 94433: Solve:
3/x-1=6/x+2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Multiply both sides by the LCD

Cancel like terms

Simplify

Distribute

Subtract 6x from both sides

Subtract 6 from both sides

Combine like terms on the left side

Combine like terms on the right side

Divide both sides by -3 to isolate x

Reduce

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Answer:
So our answer is

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Check:

Start with the given equation

Plug in x=4

Simplify the denominator

Reduce. Since the two sides of the equation are equal, this verifies our answer.
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