SOLUTION: Solve {{{1/(4x+12)-1/(x^2-9)=5/(x-3)}}}

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Question 143036: Solve

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation


Factor to get . Factor to get


So the LCD is


Multiply both sides by the LCD to clear the fractions


Distribute and multiply


Distribute again


Combine like terms on the left side


Add 7 to both sides


Subtract 20x from both sides


Combine like terms on the left side


Combine like terms on the right side


Divide both sides by -19 to isolate x



Reduce

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Answer:
So our answer is (which is approximately in decimal form)

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