1/(x-2)=2

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Solution for 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)

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

1/(x-2)-2 = 0

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

1-2*(x-2) = 0

5-2*x = 0

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

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

5-2*x = 0

5-2*x = 0 // - 5

-2*x = -5 // : -2

x = -5/(-2)

x = 5/2

x = 5/2

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