3(x-2)+(x-12)/6-2*(x+3)/(6)=x/2

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Solution for 3(x-2)+(x-12)/6-2*(x+3)/(6)=x/2 equation:


x in (-oo:+oo)

3*(x-2)+(x-12)/6-((2*(x+3))/6) = x/2 // - x/2

3*(x-2)+(x-12)/6-((2*(x+3))/6)-(x/2) = 0

3*(x-2)+(x-12)/6+(-1/3)*(x+3)-(x/2) = 0

3*(x-2)+(x-12)/6-1/3*(x+3)-x/2 = 0

(2*3*6*(x-2))/(2*6)+(2*(x-12))/(2*6)+(-1/3*2*6*(x+3))/(2*6)+(6*(-x))/(2*6) = 0

2*3*6*(x-2)+2*(x-12)-1/3*2*6*(x+3)+6*(-x) = 0

38*x-4*x-6*x-96-12 = 0

34*x-6*x-108 = 0

28*x-108 = 0

(28*x-108)/(2*6) = 0

(28*x-108)/(2*6) = 0 // * 2*6

28*x-108 = 0

28*x-108 = 0 // + 108

28*x = 108 // : 28

x = 108/28

x = 27/7

x = 27/7

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