(x+3)/(x-1)=(x-2)/(x-8)

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Solution for (x+3)/(x-1)=(x-2)/(x-8) equation: 


D( x )

x-8 = 0

x-1 = 0

x-8 = 0

x-8 = 0

x-8 = 0 // + 8

x = 8

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:8) U (8:+oo)

(x+3)/(x-1) = (x-2)/(x-8) // - (x-2)/(x-8)

(x+3)/(x-1)-((x-2)/(x-8)) = 0

(x+3)/(x-1)+(-1*(x-2))/(x-8) = 0

((x+3)*(x-8))/((x-1)*(x-8))+(-1*(x-2)*(x-1))/((x-1)*(x-8)) = 0

(x+3)*(x-8)-1*(x-2)*(x-1) = 0

-2*x-26 = 0

(-2*x-26)/((x-1)*(x-8)) = 0

(-2*x-26)/((x-1)*(x-8)) = 0 // * (x-1)*(x-8)

-2*x-26 = 0

-2*x-26 = 0 // + 26

-2*x = 26 // : -2

x = 26/(-2)

x = -13

x = -13

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