SOLUTION: Which of the following is equivalent to the expression -x-5/3-x? (1) 5/3 (2) -x+5/x-3 (3) x-5/x+3 (4) x-5/x-3 ??? thanks.

Algebra ->  Algebra  -> Equations -> SOLUTION: Which of the following is equivalent to the expression -x-5/3-x? (1) 5/3 (2) -x+5/x-3 (3) x-5/x+3 (4) x-5/x-3 ??? thanks.      Log On

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Question 202694: Which of the following is equivalent to the expression -x-5/3-x? (1) 5/3 (2) -x+5/x-3 (3) x-5/x+3 (4) x-5/x-3 ??? thanks.
Answer by jsmallt9(3296) About Me  (Show Source):
You can put this solution on YOUR website!
-x+-+5%2F%283-x%29
Rewrite as an addition:
-x+%2B+%28-5%29%2F%283-x%29
If you multiply the top and bottom of the fraction by -1:
-x+%2B+%28%28-5%29%2F%283-x%29%29%2A%28%28-1%29%2F%28-1%29%29
Simplifying we get:
-x+%2B+5%2F%28-3+%2B+x%29
Using the Commutative property in the denominator:
-x+%2B+5%2F%28x+%2B+%28-3%29%29
Rewriting the denominator as a subtraction:
-x+%2B+5%2F%28x+-+3%29
So the answer is (2).