5/(x-7)=3/(x-2)

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Solution for 5/(x-7)=3/(x-2) equation: 


D( x )

x-7 = 0

x-2 = 0

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:7) U (7:+oo)

5/(x-7) = 3/(x-2) // - 3/(x-2)

5/(x-7)-(3/(x-2)) = 0

5/(x-7)-3*(x-2)^-1 = 0

5/(x-7)-3/(x-2) = 0

(5*(x-2))/((x-7)*(x-2))+(-3*(x-7))/((x-7)*(x-2)) = 0

5*(x-2)-3*(x-7) = 0

2*x+11 = 0

(2*x+11)/((x-7)*(x-2)) = 0

(2*x+11)/((x-7)*(x-2)) = 0 // * (x-7)*(x-2)

2*x+11 = 0

2*x+11 = 0 // - 11

2*x = -11 // : 2

x = -11/2

x = -11/2

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