\(\frac{x}{x - 2} + \frac{x + 2}{x} \ \textgreater \ 2\)
\(\frac{x(x)}{x(x - 2)} + \frac{(x - 2)(x + 2)}{x(x - 2)} \ \textgreater \ 2\)
\(\frac{x^{2}}{x(x - 2)} + \frac{x^{2} - 4}{x(x - 2)} \ \textgreater \ 2\)
\(\frac{x^{2} + x^{2} - 4}{x(x - 2)} \ \textgreater \ 2\)
\(\frac{2x^{2} - 4}{x(x - 2)} \ \textgreater \ 2\)
\(2x(x - 2) \ \textgreater \ 2x^{2} - 4\)
\(2x^{2} - 4x \ \textgreater \ 2x^{2} - 4\)
\(-4x \ \textgreater \ 4\)
\(x \ \textgreater \ -1\)