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

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Solution for (2x/(x+3))=6-(6/(x+3)) equation: 


D( x )

x+3 = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

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

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

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

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

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

2*x-6*x-18+6 = 0

-4*x-12 = 0

(-4*x-12)/(x+3) = 0

(-4*x-12)/(x+3) = 0 // * x+3

-4*x-12 = 0

-4*x-12 = 0 // + 12

-4*x = 12 // : -4

x = 12/(-4)

x = -3

x in { -3} 

x belongs to the empty set

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