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x in (-oo:+oo)
(x+1)/6+3*x-(x/3) = 9*x // - 9*x
(x+1)/6+3*x-(x/3)-(9*x) = 0
(x+1)/6+3*x-(x/3)-9*x = 0
(x+1)/6+3*x-x/3-9*x = 0
(3*(x+1))/(3*6)+(3*3*6*x)/(3*6)+(6*(-x))/(3*6)+(-9*3*6*x)/(3*6) = 0
3*(x+1)+3*3*6*x+6*(-x)-9*3*6*x = 0
57*x-6*x-162*x+3 = 0
51*x-162*x+3 = 0
3-111*x = 0
(3-111*x)/(3*6) = 0
(3-111*x)/(3*6) = 0 // * 3*6
3-111*x = 0
3-111*x = 0 // - 3
-111*x = -3 // : -111
x = -3/(-111)
x = 1/37
x = 1/37
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