x/(x-2)=6

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


D( x )

x-2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:+oo)

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

x/(x-2)-6 = 0

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

x-6*(x-2) = 0

12-5*x = 0

(12-5*x)/(x-2) = 0

(12-5*x)/(x-2) = 0 // * x-2

12-5*x = 0

12-5*x = 0 // - 12

-5*x = -12 // : -5

x = -12/(-5)

x = 12/5

x = 12/5

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