((x-1)/(x-3))-((3)/(x-2))=1

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Solution for ((x-1)/(x-3))-((3)/(x-2))=1 equation: 


D( x )

x-2 = 0

x-3 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:2) U (2:3) U (3:+oo)

(x-1)/(x-3)-(3/(x-2)) = 1 // - 1

(x-1)/(x-3)-(3/(x-2))-1 = 0

(x-1)/(x-3)-3*(x-2)^-1-1 = 0

(x-1)/(x-3)-3/(x-2)-1 = 0

((x-1)*(x-2))/((x-3)*(x-2))+(-3*(x-3))/((x-3)*(x-2))+(-1*(x-3)*(x-2))/((x-3)*(x-2)) = 0

(x-1)*(x-2)-3*(x-3)-1*(x-3)*(x-2) = 0

x^2-x^2-6*x+5*x-6+11 = 0

5-x = 0

(5-x)/((x-3)*(x-2)) = 0

(5-x)/((x-3)*(x-2)) = 0 // * (x-3)*(x-2)

5-x = 0

5-x = 0 // - 5

-x = -5 // * -1

x = 5

x = 5

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