2x/(x-6)=12/(x-6)

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Solution for 2x/(x-6)=12/(x-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)

(2*x)/(x-6) = 12/(x-6) // - 12/(x-6)

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

(2*x)/(x-6)-12*(x-6)^-1 = 0

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

2*x-12 = 0

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

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

2*x-12 = 0

2*x-12 = 0 // + 12

2*x = 12 // : 2

x = 12/2

x = 6

x in { 6} 

x belongs to the empty set

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