x = x + 3 ∣ s u b t r a c t x f ro m b o t h s i d es 0 = 3 − F A L SE n o so l u t i o n ( x ∈ \O )
x = x + 3 0 = 3 x ∈ ∅
The equation x = x + 3 leads to the contradiction 0 = 3 , indicating that there are no solutions. Thus, this equation is inconsistent and has no valid values for x .
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