Answer
$$x=181/36$$
Work Step by Step
We solve:
$$\sqrt{x+3}=(3- \sqrt{x-5})$$
We now square both sides:
$$(\sqrt{x+3})^2=(3- \sqrt{x-5})^2$$
$${x+3}=(9- 6\sqrt{x-5})+x-5$$
$${-1}=(6\sqrt{x-5})$$
$${-1/6}=(\sqrt{x-5})$$
$${1/36}=({x-5})$$
$$x=181/36$$
