SOLUTION: how would you simplify {{{(3/(x+2))+(7/(x-4))}}} would the lcd be (x+2)(x-4) then you would get 3(x-4)+7(x+2) 3x+12+7x+14 10x+26 but im not sure

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Question 1079440: how would you simplify %283%2F%28x%2B2%29%29%2B%287%2F%28x-4%29%29
would the lcd be (x+2)(x-4) then you would get
3(x-4)+7(x+2)
3x+12+7x+14
10x+26
but im not sure

Found 2 solutions by rothauserc, MathTherapy:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
(3(x-4) + 7(x+2)) / ((x-4)(x-2)) =
:
(3x -12 + 7x +14) / ((x-4)(x-2)) =
:
(10x +2) / ((x-4)(x-2)) =
:
(2(5x + 1)) / ((x-4)(x-2))
:

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

how would you simplify %283%2F%28x%2B2%29%29%2B%287%2F%28x-4%29%29
would the lcd be (x+2)(x-4) then you would get
3(x-4)+7(x+2)
3x+12+7x+14
10x+26
but im not sure
Yes, that's the LCD, but 3(x - 4) IS NOT 3x + 12, and you forgot that the LCD should be included as this is not an EQUATION to be solved, but an EXPRESSION to be simplified.
%283%2F%28x+%2B+2%29%29+%2B+%287%2F%28x+-+4%29%29
%283%28x+-+4%29+%2B+7%28x+%2B+2%29%29%2F%28x+-+4%29%28x+%2B+2%29 ------ Multiplying by LCD, (x + 2)(x - 4)
%283x+-+12+%2B+7x+%2B+14%29%2F%28x+-+4%29%28x+%2B+2%29