1/(x-5)=2

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Solution for 1/(x-5)=2 equation: 


D( x )

x-5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x in (-oo:5) U (5:+oo)

1/(x-5) = 2 // - 2

1/(x-5)-2 = 0

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

1-2*(x-5) = 0

11-2*x = 0

(11-2*x)/(x-5) = 0

(11-2*x)/(x-5) = 0 // * x-5

11-2*x = 0

11-2*x = 0 // - 11

-2*x = -11 // : -2

x = -11/(-2)

x = 11/2

x = 11/2

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