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x in (-oo:+oo)
(1/2)*(x+1)+(1/3)*(2*x-1) = x+5/6 // - x+5/6
(1/2)*(x+1)+(1/3)*(2*x-1)-x-(5/6) = 0
(1/2)*(x+1)+(1/3)*(2*x-1)-x-5/6 = 0
1/2*(x+1)+1/3*(2*x-1)-x-5/6 = 0
(1/2*6*(x+1))/6+(1/3*6*(2*x-1))/6+(6*(-x))/6-5/6 = 0
1/2*6*(x+1)+1/3*6*(2*x-1)+6*(-x)-5 = 0
7*x-6*x-5+1 = 0
x-5+1 = 0
x-4 = 0
(x-4)/6 = 0
(x-4)/6 = 0 // * 6
x-4 = 0
x-4 = 0 // + 4
x = 4
x = 4
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