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

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


D( x )

x-6 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x in (-oo:6) U (6:+oo)

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

(x-2)/(x-6)+5 = 0

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

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

6*x-32 = 0

(6*x-32)/(x-6) = 0

(6*x-32)/(x-6) = 0 // * x-6

6*x-32 = 0

6*x-32 = 0 // + 32

6*x = 32 // : 6

x = 32/6

x = 16/3

x = 16/3

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