Square each side.
Set the equation equal to zero
Factor the equation.

x + 20 = x²
0 = x² − x − 20

x = 5

$\sqrt{x-2}+2=\sqrt{2x+3}$

$x-2+2\sqrt{x-2}+4=2x+3$

Here is the start of the process.
Complete the rest and check all possible answers.

x = 3 x = 11