(x-4)/(x+6)=(x-8)/(x-3)

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Solution for (x-4)/(x+6)=(x-8)/(x-3) equation: 


D( x )

x-3 = 0

x+6 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x in (-oo:-6) U (-6:3) U (3:+oo)

(x-4)/(x+6) = (x-8)/(x-3) // - (x-8)/(x-3)

(x-4)/(x+6)-((x-8)/(x-3)) = 0

(x-4)/(x+6)+(-1*(x-8))/(x-3) = 0

((x-4)*(x-3))/((x+6)*(x-3))+(-1*(x-8)*(x+6))/((x+6)*(x-3)) = 0

(x-4)*(x-3)-1*(x-8)*(x+6) = 0

60-5*x = 0

(60-5*x)/((x+6)*(x-3)) = 0

(60-5*x)/((x+6)*(x-3)) = 0 // * (x+6)*(x-3)

60-5*x = 0

60-5*x = 0 // - 60

-5*x = -60 // : -5

x = -60/(-5)

x = 12

x = 12

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