((x-4)/(x-3))=((x-5)/(x-8))

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Solution for ((x-4)/(x-3))=((x-5)/(x-8)) equation: 


D( x )

x-3 = 0

x-8 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x-8 = 0

x-8 = 0

x-8 = 0 // + 8

x = 8

x in (-oo:3) U (3:8) U (8:+oo)

(x-4)/(x-3) = (x-5)/(x-8) // - (x-5)/(x-8)

(x-4)/(x-3)-((x-5)/(x-8)) = 0

(x-4)/(x-3)+(-1*(x-5))/(x-8) = 0

((x-4)*(x-8))/((x-3)*(x-8))+(-1*(x-5)*(x-3))/((x-3)*(x-8)) = 0

(x-4)*(x-8)-1*(x-5)*(x-3) = 0

17-4*x = 0

(17-4*x)/((x-3)*(x-8)) = 0

(17-4*x)/((x-3)*(x-8)) = 0 // * (x-3)*(x-8)

17-4*x = 0

17-4*x = 0 // - 17

-4*x = -17 // : -4

x = -17/(-4)

x = 17/4

x = 17/4

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