2/(2x-3)+6/(6x+7)=1/(x+1)+3/(3x-4)
(4 (-1 + 6 x))/((-3 + 2 x) (7 + 6 x)) = (-1 + 6 x)/((1 + x) (-4 + 3 x))
(-1 + 6 x)/(84 + 37 x - 107 x^2 - 24 x^3 + 36 x^4) =0
6 x-1=0
x=1/6
2/(2x-3)+6/(6x+7)=1/(x+1)+3/(3x-4)
(4 (-1 + 6 x))/((-3 + 2 x) (7 + 6 x)) = (-1 + 6 x)/((1 + x) (-4 + 3 x))
(-1 + 6 x)/(84 + 37 x - 107 x^2 - 24 x^3 + 36 x^4) =0
6 x-1=0
x=1/6