(x-2)/(x-5)=(x+6)/(x-7)

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Solution for (x-2)/(x-5)=(x+6)/(x-7) equation: 


D( x )

x-5 = 0

x-7 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

x in (-oo:5) U (5:7) U (7:+oo)

(x-2)/(x-5) = (x+6)/(x-7) // - (x+6)/(x-7)

(x-2)/(x-5)-((x+6)/(x-7)) = 0

(x-2)/(x-5)+(-1*(x+6))/(x-7) = 0

((x-2)*(x-7))/((x-5)*(x-7))+(-1*(x+6)*(x-5))/((x-5)*(x-7)) = 0

(x-2)*(x-7)-1*(x+6)*(x-5) = 0

44-10*x = 0

(44-10*x)/((x-5)*(x-7)) = 0

(44-10*x)/((x-5)*(x-7)) = 0 // * (x-5)*(x-7)

44-10*x = 0

44-10*x = 0 // - 44

-10*x = -44 // : -10

x = -44/(-10)

x = 22/5

x = 22/5

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