1/2(x+3)-(x-3/2)=5x

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Solution for 1/2(x+3)-(x-3/2)=5x equation: 


x in (-oo:+oo)

(1/2)*(x+3)-x+3/2 = 5*x // - 5*x

(1/2)*(x+3)-x-(5*x)+3/2 = 0

(1/2)*(x+3)-x-5*x+3/2 = 0

1/2*(x+3)-x-5*x+3/2 = 0

(1/2*2*(x+3))/2+(2*(-x))/2+(-5*2*x)/2+3/2 = 0

1/2*2*(x+3)+2*(-x)-5*2*x+3 = 0

3-x-10*x+3 = 0

3-11*x+3 = 0

6-11*x = 0

(6-11*x)/2 = 0

(6-11*x)/2 = 0 // * 2

6-11*x = 0

6-11*x = 0 // - 6

-11*x = -6 // : -11

x = -6/(-11)

x = 6/11

x = 6/11

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