Answer
$x=.8$
Work Step by Step
$\frac{5}{\sqrt 8-2} = \frac{\sqrt 8+2}{x}$
${\sqrt 8-2} *{\sqrt 8+2} = 5x$
$\sqrt 8*\sqrt8 +2\sqrt 8-2\sqrt 8 -4=5x$
$8-4 = 5x$
$4=5x$
$4/5= x = .8$
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