DE-MO 2008 Problem 1

Find all real numbers $x$ such that $\sqrt{x+1}+\sqrt{x+3} = \sqrt{2x-1}+\sqrt{2x+1}.$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.