(x-2)/6=(3x-2)/5

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Solution for (x-2)/6=(3x-2)/5 equation: 


x in (-oo:+oo)

(x-2)/6 = (3*x-2)/5 // - (3*x-2)/5

(x-2)/6-((3*x-2)/5) = 0

(x-2)/6+(-1*(3*x-2))/5 = 0

(5*(x-2))/(5*6)+(-1*6*(3*x-2))/(5*6) = 0

5*(x-2)-1*6*(3*x-2) = 0

2-13*x = 0

(2-13*x)/(5*6) = 0

(2-13*x)/(5*6) = 0 // * 5*6

2-13*x = 0

2-13*x = 0 // - 2

-13*x = -2 // : -13

x = -2/(-13)

x = 2/13

x = 2/13

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