SOLUTION: 3/x+2 + 2/x-2 = 8/(x+2)(x-2) Can you please help me solve this?

Question 94312This question is from textbook Blitzer
: 3/x+2 + 2/x-2 = 8/(x+2)(x-2)
Can you please help me solve this? This question is from textbook Blitzer

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

Distribute and multiply

Distribute again

Add 6 to both sides

Subtract 4 from both sides

Combine like terms on the left side

Combine like terms on the right side

Divide both sides by 5 to isolate x

Reduce

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Answer:
So our possible answer is

However, we must check this answer

Start with the given equation

Plug in x=2

Simplify the denominators

Since x=2 makes two fractions have a denominator of zero, the possible solution x=2 is not valid. So there are no solutions.
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