1/2*(a-2)=2/3*a-6

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Solution for 1/2*(a-2)=2/3*a-6 equation: 


a in (-oo:+oo)

(1/2)*(a-2) = (2/3)*a-6 // - (2/3)*a-6

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

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

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

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

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

18-1/2*a-3 = 0

15-1/2*a = 0

(15-1/2*a)/3 = 0

(15-1/2*a)/3 = 0 // * 3

15-1/2*a = 0

15-1/2*a = 0 // - 15

-1/2*a = -15 // : -1/2

a = -15/(-1/2)

a = 30

a = 30

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