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

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Solution for (x-1)/(x-2)=2 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-1)/(x-2) = 2 // - 2

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

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

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

3-x = 0

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

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

3-x = 0

3-x = 0 // - 3

-x = -3 // * -1

x = 3

x = 3

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