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

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


x in (-oo:+oo)

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

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

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

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

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

5*x+x-15-6 = 0

6*x-15-6 = 0

6*x-21 = 0

(6*x-21)/2 = 0

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

6*x-21 = 0

6*x-21 = 0 // + 21

6*x = 21 // : 6

x = 21/6

x = 7/2

x = 7/2

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