SOLUTION: Add or subtract as indicated.write all answers in lowest terms. 2/4-x+5/x-4

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Question 92447: Add or subtract as indicated.write all answers in lowest terms.



2/4-x+5/x-4

Answer by anraymer(35) About Me  (Show Source):
You can put this solution on YOUR website!
2%2F%284-x%29%2B5%2F%28x-4%29
Multiply both side by (x-4)(4-x) to get rid the denominators:
%282%2F%284-x%29%29%2A%28x-4%29%284-x%29+%2B+%285%2F%28x-4%29%29%2A%28x-4%29%284-x%29
2%28x-4%29+%2B+5%284-x%29
Then distribute and simplify:
2x-8%2B20-5x
12-3x