x/(x-4)=(x-6)/(x-7)

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Solution for x/(x-4)=(x-6)/(x-7) equation: 


D( x )

x-7 = 0

x-4 = 0

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:4) U (4:7) U (7:+oo)

x/(x-4) = (x-6)/(x-7) // - (x-6)/(x-7)

x/(x-4)-((x-6)/(x-7)) = 0

x/(x-4)+(-1*(x-6))/(x-7) = 0

(x*(x-7))/((x-4)*(x-7))+(-1*(x-6)*(x-4))/((x-4)*(x-7)) = 0

x*(x-7)-1*(x-6)*(x-4) = 0

3*x-24 = 0

(3*x-24)/((x-4)*(x-7)) = 0

(3*x-24)/((x-4)*(x-7)) = 0 // * (x-4)*(x-7)

3*x-24 = 0

3*x-24 = 0 // + 24

3*x = 24 // : 3

x = 24/3

x = 8

x = 8

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