Answer
x=17/4
Work Step by Step
Recall, in order to cancel out a square root, we square both sides of the equation. Thus, we square both sides of the equation to obtain that 8x-6=4x+11. We now simplify:
$ 4x-6=11 \\\\4x=17 \\\\ x=17/4 $
We now must check our solution:
$\sqrt{8(17/4)-6}=\sqrt{4(17/4)+11} \\\\ \sqrt{28}=\sqrt{28}$
This is true, so our solution is valid.
