2x/x-1=5/x-5

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


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

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

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

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

-5*x^-1 = -6 // : -5

x^-1 = 6/5

-1 < 0

1/(x^1) = 6/5 // * x^1

1 = 6/5*x^1 // : 6/5

5/6 = x^1

x = 5/6

x = 5/6

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