1/2(x-1/6)+2/3=5/6+1/3(1/2-3x)

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Solution for 1/2(x-1/6)+2/3=5/6+1/3(1/2-3x) equation:


x in (-oo:+oo)

(1/2)*(x-(1/6))+2/3 = (1/3)*(1/2-(3*x))+5/6 // - (1/3)*(1/2-(3*x))+5/6

(1/2)*(x-(1/6))-((1/3)*(1/2-(3*x)))+2/3-(5/6) = 0

(1/2)*(x-1/6)+(-1/3)*(1/2-3*x)+2/3-5/6 = 0

1/2*(x-1/6)-1/3*(1/2-3*x)+2/3-5/6 = 0

(1/2*3*6*(x-1/6))/(3*6)+(-1/3*3*6*(1/2-3*x))/(3*6)+(2*6)/(3*6)+(-5*3)/(3*6) = 0

1/2*3*6*(x-1/6)-1/3*3*6*(1/2-3*x)+2*6-5*3 = 0

27*x-15-9/2+12 = 0

27*x-15+15/2 = 0

27*x-15/2 = 0

(27*x-15/2)/(3*6) = 0

(27*x-15/2)/(3*6) = 0 // * 3*6

27*x-15/2 = 0

27*x-15/2 = 0 // + 15/2

27*x = 15/2 // : 27

x = 15/2/27

x = 5/18

x = 5/18

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