SOLUTION: please help simplify: x/5-x + 7/x-5 Thank you!

Question 1095580: please help simplify:
x/5-x + 7/x-5
Thank you!
Found 2 solutions by jim_thompson5910, josgarithmetic:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm going to assume that the given expression is

If the assumption is correct, then please use parenthesis. Saying x/(5-x) means you divide x all over (5-x) giving . The same applies for 7/(x-5) to indicate

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Factor -1 out of the expression 5-x to get -1(-5+x)

Rearrange -5+x into x-5

Simplify the first fraction. Note how the denominators are now both (x-5). This means we can combine the numerators over this common denominator.

---------------------------------

So simplifies to

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Exactly as written, x/5-x + 7/x-5 is . Simplest denominator is .

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