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simplify the complex fraction

4/x+5 +2
_________
14/x+5 -2

Once i multiply by the LCD i get

4+2(x+5)/14-2(x+5)

however i can't see what i can do next to simplify can you explain.

1 answer

well, geez -- get rid of the parentheses and collect terms!

4+2(x+5) / 14-2(x+5)
= 4+2x+10 / 14-2x-10
= 14+2x / 4-2x
= (7+x)/(2-x)
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