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

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Solution for (x-3)/(x-5)=(x+5)/(x+1) equation: 


D( x )

x-5 = 0

x+1 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-1) U (-1:5) U (5:+oo)

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

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

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

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

(x-3)*(x+1)-1*(x+5)*(x-5) = 0

22-2*x = 0

(22-2*x)/((x-5)*(x+1)) = 0

(22-2*x)/((x-5)*(x+1)) = 0 // * (x-5)*(x+1)

22-2*x = 0

22-2*x = 0 // - 22

-2*x = -22 // : -2

x = -22/(-2)

x = 11

x = 11

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