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

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


D( x )

x-3 = 0

x+3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

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

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

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

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

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

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

3-3*x = 0

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

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

3-3*x = 0

3-3*x = 0 // - 3

-3*x = -3 // : -3

x = -3/(-3)

x = 1

x = 1

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