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D( x )
x-2 = 0
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
x in (-oo:2) U (2:+oo)
x/(x-2)-5 = 2/(x-2) // - 2/(x-2)
x/(x-2)-(2/(x-2))-5 = 0
x/(x-2)-2*(x-2)^-1-5 = 0
x/(x-2)-2/(x-2)-5 = 0
x/(x-2)-2/(x-2)+(-5*(x-2))/(x-2) = 0
x-5*(x-2)-2 = 0
x-5*x-2+10 = 0
8-4*x = 0
(8-4*x)/(x-2) = 0
(8-4*x)/(x-2) = 0 // * x-2
8-4*x = 0
8-4*x = 0 // - 8
-4*x = -8 // : -4
x = -8/(-4)
x = 2
x in { 2}
x belongs to the empty set
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