x-1/x-5=x-3/x-8

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Solution for x-1/x-5=x-3/x-8 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(1/x)-5 = x-(3/x)-8 // - x-(3/x)-8

x-x-(1/x)+3/x-5+8 = 0

x-x-x^-1+3/x-5+8 = 0

2*x^-1 = -3 // : 2

x^-1 = -3/2

-1 < 0

1/(x^1) = -3/2 // * x^1

1 = -3/2*x^1 // : -3/2

-2/3 = x^1

x = -2/3

x = -2/3

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