Answer
All real numbers except x=3.
Work Step by Step
We are given:
$\displaystyle \frac{3}{x-3}=\frac{3}{x-3}$
If we multiply through by $x-3$, we get:
$\displaystyle \frac{3(x-3)}{x-3}=\frac{3(x-3)}{x-3}$
$3=3$
Since we got an identity, the solution is all real numbers except $x=3$ (which would cause division by zero in the original equation).
