\[(2x - 5)^{2} - (2x - 3)^{2} = 0\]
\[(2x - 5 - 2x + 3)(2x - 5 + 2x - 3) = 0\]
\[- 2(4x - 8) = 0\]
\[- 2 \cdot 4(x - 2) = 0\]
\[x = 2.\]