5/(2x-10)=-6/(x-5)

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Solution for 5/(2x-10)=-6/(x-5) equation: 


D( x )

x-5 = 0

2*x-10 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

2*x-10 = 0

2*x-10 = 0

2*x-10 = 0 // + 10

2*x = 10 // : 2

x = 10/2

x = 5

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

5/(2*x-10) = -6/(x-5) // + -6/(x-5)

5/(2*x-10)-(-6/(x-5)) = 0

5/(2*x-10)+6*(x-5)^-1 = 0

5/(2*x-10)+6/(x-5) = 0

(5*(x-5))/((2*x-10)*(x-5))+(6*(2*x-10))/((2*x-10)*(x-5)) = 0

5*(x-5)+6*(2*x-10) = 0

17*x-85 = 0

(17*x-85)/((2*x-10)*(x-5)) = 0

(17*x-85)/((2*x-10)*(x-5)) = 0 // * (2*x-10)*(x-5)

17*x-85 = 0

17*x-85 = 0 // + 85

17*x = 85 // : 17

x = 85/17

x = 5

x in { 5} 

x belongs to the empty set

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