$2.58 \sqrt{x}+\frac{2 x+1}{x+2}=2$.

Translate the text above into English, keeping the original text's line breaks and format, and output the translation result directly.

$2.58 \sqrt{x}+\frac{2 x+1}{x+2}=2$.
### 2.58 We have

$\sqrt{x}=2-\frac{2 x+1}{x+2}$, or $\sqrt{x}=\frac{3}{x+2}$.

After squaring and performing transformations, the equation will take the form $x^{3}+4 x^{2}+4 x-9=0$. Notice that the sum of the coefficients of the last equation is zero, which means it has a root $x=1$. Therefore,

$$
x^{3}-x^{2}+5 x^{2}-5 x+9 x-9=0
$$

or $(x-1)\left(x^{2}+5 x+9\right)=0$.

Since the equation $x^{2}+5 x+9=0$ has no roots, $x=1$ is the only root of the original equation.

Answer: $x=1$.