1/(5x-15)=1/(15-x)

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Solution for 1/(5x-15)=1/(15-x) equation: 


D( x )

5*x-15 = 0

15-x = 0

5*x-15 = 0

5*x-15 = 0

5*x-15 = 0 // + 15

5*x = 15 // : 5

x = 15/5

x = 3

15-x = 0

15-x = 0

15-x = 0 // - 15

-x = -15 // * -1

x = 15

x in (-oo:3) U (3:15) U (15:+oo)

1/(5*x-15) = 1/(15-x) // - 1/(15-x)

1/(5*x-15)-(1/(15-x)) = 0

1/(5*x-15)-(15-x)^-1 = 0

1/(5*x-15)-1/(15-x) = 0

(1*(15-x))/((5*x-15)*(15-x))+(-1*(5*x-15))/((5*x-15)*(15-x)) = 0

1*(15-x)-1*(5*x-15) = 0

30-6*x = 0

(30-6*x)/((5*x-15)*(15-x)) = 0

(30-6*x)/((5*x-15)*(15-x)) = 0 // * (5*x-15)*(15-x)

30-6*x = 0

30-6*x = 0 // - 30

-6*x = -30 // : -6

x = -30/(-6)

x = 5

x = 5

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