\[\sqrt{2x + 3} = 6 - x\]
\[6 - x \geq 0\]
\[x \leq 6.\]
\[\left( \sqrt{2x + 3} \right)^{2} = (6 - x)^{2}\]
\[2x + 3 = 36 - 12x + x^{2}\]
\[x^{2} - 14x + 33 = 0\]
\[D_{1} = 49 - 33 = 16\]
\[x_{1} = 7 + 4 = 11 > 6;\]
\[x_{2} = 7 - 4 = 3.\]
\[Ответ:x = 3.\]