10/(x-2)=15/(6+x)

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Solution for 10/(x-2)=15/(6+x) equation: 


D( x )

x-2 = 0

x+6 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x in (-oo:-6) U (-6:2) U (2:+oo)

10/(x-2) = 15/(x+6) // - 15/(x+6)

10/(x-2)-(15/(x+6)) = 0

10/(x-2)-15*(x+6)^-1 = 0

10/(x-2)-15/(x+6) = 0

(10*(x+6))/((x-2)*(x+6))+(-15*(x-2))/((x-2)*(x+6)) = 0

10*(x+6)-15*(x-2) = 0

90-5*x = 0

(90-5*x)/((x-2)*(x+6)) = 0

(90-5*x)/((x-2)*(x+6)) = 0 // * (x-2)*(x+6)

90-5*x = 0

90-5*x = 0 // - 90

-5*x = -90 // : -5

x = -90/(-5)

x = 18

x = 18

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