Help finding a common denominator

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The discussion centers on finding a common denominator for the equation A+B = C+D to simplify it to E=F. The original poster struggled with this and sought help, particularly in factoring the denominator (x^2-1). After some effort, they successfully factored it into (x+1)(x-1), which clarified the relationship between the fractions. The importance of comparing the two sides of the equation was highlighted as a necessary step in the process. Ultimately, the poster expressed gratitude for the assistance received.
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Everything is attached. I spent some serious time trying to come up with one, but am flanking miserable. I even attached my latest attempt. Can anyone clue me or even just tell me what it is?
 

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Find the common denominators on each side of the equals sign independently so that you can add the two fractions on each side together: you have A+B = C+D. You want to get E=F. Once you get E=F, you are able to cross multiply. On the left side of the original equation, factor the denominator (x^2-1) first.
 
Compare these two.
 

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Why do I need to compare them?

But nevermind, I got the answer by indeed factoring the first denominator to (x+1)(x-1)

Thanks a bunch :)!
 
If you would look at them it will become obvious by what do you have to multiply one to get the other. x is not the correct idea.
 

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