Answer
$\displaystyle x=\frac{9}{2}$
Work Step by Step
We solve:
$\sqrt{2x-5}+2=4$
$\sqrt{2x-5}=4-2=2$
$(\sqrt{2x-5})^{2}=2^{2}$
$2x-5=4$
$2x=4+5=9$
$x=\frac{9}{2}$
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