#### Answer

$x=0$

#### Work Step by Step

We rewrite the 8 on the right, so that the base is $2$ on both sides.
$2^{3-2x}=8
\\2^{3-2x}=2^3$
Then we set the exponents equal, because the two sides are equal only if the powers are equal too:
$3-2x=3$
$3-3 = 2x$
$0=2x
\\0=x$