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

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


D( x )

2-x = 0

x-3 = 0

2-x = 0

2-x = 0

2-x = 0 // - 2

-x = -2 // * -1

x = 2

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

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

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

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

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

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

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

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

12-5*x = 0

(12-5*x)/((x-3)*(2-x)) = 0

(12-5*x)/((x-3)*(2-x)) = 0 // * (x-3)*(2-x)

12-5*x = 0

12-5*x = 0 // - 12

-5*x = -12 // : -5

x = -12/(-5)

x = 12/5

x = 12/5

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