Question 184426
Solve (x/6) + ((x+4)/2) = (2/(x+5))

lcm = 6*(x+5)

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Multiply thru by the lcm to get:

x(x+5) + 3(x+5)(x+4) = 2*6

x^2 + 5x + 3(x^2 + 9x + 20) = 12

x^2 + 5x + 3x^2 + 27x + 60 = 12

4x^2 + 32x + 48 = 0
x^2 + 8x + 12 = 0
(x+2)(x+6) = 0
x = -2 or x = -6
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Cheers,
Stan H.