Answer
$x=6$
Work Step by Step
$\sqrt {x+5} = \sqrt {2x-1}$
$(\sqrt {x+5})^2 = (\sqrt {2x-1})^2$
$x+5=2x-1$
$5=x-1$
$6=x$
$\sqrt {x+5} = \sqrt {2x-1}$
$\sqrt {6+5} = \sqrt {2*6-1}$
$\sqrt {11} = \sqrt {12-1}$
$\sqrt {11} = \sqrt {11}$ (true)