9(x-2)+4(2-x)=x+1/2

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Solution for 9(x-2)+4(2-x)=x+1/2 equation: 


x in (-oo:+oo)

9*(x-2)+4*(2-x) = x+1/2 // - x+1/2

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

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

(2*9*(x-2))/2+(2*4*(2-x))/2+(2*(-x))/2-1/2 = 0

2*9*(x-2)+2*4*(2-x)+2*(-x)-1 = 0

10*x-2*x-20-1 = 0

8*x-20-1 = 0

8*x-21 = 0

(8*x-21)/2 = 0

(8*x-21)/2 = 0 // * 2

8*x-21 = 0

8*x-21 = 0 // + 21

8*x = 21 // : 8

x = 21/8

x = 21/8

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