2. The solution to the equation $(x+2)^{5}+x^{5}+2 x+2=0$ with respect to $x$ is

 untranslated part remains the same as it is a mathematical expression.
2. -1

Explanation: Let $f(x)=x^{5}+x$, then the original equation is equivalent to $f(x+2)=f(-x)$, which means $x+2=-x$, solving for $x$ gives $x=-1$