x/(x-3)-4=3/(x-3)

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Solution for x/(x-3)-4=3/(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)

x/(x-3)-4 = 3/(x-3) // - 3/(x-3)

x/(x-3)-(3/(x-3))-4 = 0

x/(x-3)-3*(x-3)^-1-4 = 0

x/(x-3)-3/(x-3)-4 = 0

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

x-4*(x-3)-3 = 0

x-4*x-3+12 = 0

9-3*x = 0

(9-3*x)/(x-3) = 0

(9-3*x)/(x-3) = 0 // * x-3

9-3*x = 0

9-3*x = 0 // - 9

-3*x = -9 // : -3

x = -9/(-3)

x = 3

x in { 3} 

x belongs to the empty set

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