Answer
(-x+1)/(x-2)
Work Step by Step
Original Equation
5/(x-2) + (x+4)/(2-x)
LCD: x-2
Adjust Denominator
5/(x-2) + (-x-4)/(x-2)
Add numerators
(-x+1)/(x-2)
Answer: (-x+1)/(x-2)
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