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

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


x in (-oo:+oo)

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

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

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

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

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

3*(3*x-1)-1*2*(x-2) = 0

7*x+1 = 0

(7*x+1)/(2*3) = 0

(7*x+1)/(2*3) = 0 // * 2*3

7*x+1 = 0

7*x+1 = 0 // - 1

7*x = -1 // : 7

x = -1/7

x = -1/7

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