[tex]\displaystyle\bf\\\frac{x}{2\sqrt{2}-\sqrt{3}}=\frac{2\sqrt{2}+\sqrt{3}}{5}\\\\Produsul~mezilor = produsul~extremilor\\\\5x=\Big(2\sqrt{2}-\sqrt{3}\Big)\Big(2\sqrt{2}+\sqrt{3}\Big)\\\\Folosim~formula:~~~~(a-b)(a+b)=a^2-b^2\\\\5x=\Big(2\sqrt{2}\Big)^2-\Big(\sqrt{3}\Big)^2\\\\5x=8-3\\\\5x=5\\\\x=\frac{5}{5}\\\\\boxed{\bf x=1}[/tex]
