$$A=(2x+3)^{3}; B=(x-2)^{3}; C=(1-\sqrt{2})(1+\sqrt{2})+(1+\sqrt{2})^{3}$$
$\left\{\begin{matrix}x=\frac{\sqrt[3]{\frac{A}{B}}-3}{2}\text{, }&B\neq 0\\x\in \mathrm{R}\text{, }&A=0\text{ and }B=0\end{matrix}\right.$