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

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


D( x )

x+6 = 0

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

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

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

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

(x-2)/(x+6)-1/3 = 0

(3*(x-2))/(3*(x+6))+(-1*(x+6))/(3*(x+6)) = 0

3*(x-2)-1*(x+6) = 0

2*x-12 = 0

(2*x-12)/(3*(x+6)) = 0

(2*x-12)/(3*(x+6)) = 0 // * 3*(x+6)

2*x-12 = 0

2*x-12 = 0 // + 12

2*x = 12 // : 2

x = 12/2

x = 6

x = 6

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