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

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


x in (-oo:+oo)

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

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

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

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

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

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

3/2-5/2*x-1/2*x-1+15 = 0

33/2-3*x-1 = 0

31/2-3*x = 0

(31/2-3*x)/2 = 0

(31/2-3*x)/2 = 0 // * 2

31/2-3*x = 0

31/2-3*x = 0 // - 31/2

-3*x = -31/2 // : -3

x = -31/2/(-3)

x = 31/6

x = 31/6

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