1/6(x-2)=2/3(x+4)-1/3x

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Solution for 1/6(x-2)=2/3(x+4)-1/3x equation:


x in (-oo:+oo)

(1/6)*(x-2) = (2/3)*(x+4)-((1/3)*x) // - (2/3)*(x+4)-((1/3)*x)

(1/6)*(x-2)-((2/3)*(x+4))+(1/3)*x = 0

(1/6)*(x-2)+(-2/3)*(x+4)+(1/3)*x = 0

1/6*(x-2)-2/3*(x+4)+x/3 = 0

(1/6*3*(x-2))/3+(-2/3*3*(x+4))/3+x/3 = 0

1/6*3*(x-2)-2/3*3*(x+4)+x = 0

x-3/2*x-9 = 0

-1/2*x-9 = 0

(-1/2*x-9)/3 = 0

(-1/2*x-9)/3 = 0 // * 3

-1/2*x-9 = 0

-1/2*x-9 = 0 // + 9

-1/2*x = 9 // : -1/2

x = 9/(-1/2)

x = -18

x = -18

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