Answer
$x=9$
Work Step by Step
$\sqrt{x+4} =\sqrt {2x-5}$
$(\sqrt{x+4})^2 =(\sqrt {2x-5})^2$
$x+4=2x-5$
$x+9=2x$
$9=x$
$\sqrt{x+4} =\sqrt {2x-5}$
$\sqrt{9+4} =\sqrt {2*9-5}$
$\sqrt{13} =\sqrt {18-5}$
$\sqrt{13} =\sqrt {13}$ (true)
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