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

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

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

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

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

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

24-3*x = 0

(24-3*x)/(x-5) = 0

(24-3*x)/(x-5) = 0 // * x-5

24-3*x = 0

24-3*x = 0 // - 24

-3*x = -24 // : -3

x = -24/(-3)

x = 8

x = 8

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