Answer
$\dfrac {2}{3}\left( 1\pm \sqrt {2}\right) $
Work Step by Step
$\left( 2-3x\right) ^{2}=8\Rightarrow 2-3x=\pm 2\sqrt {2}\Rightarrow 3x=2\pm 2\sqrt {2}\Rightarrow x=\dfrac {2}{3}\left( 1\pm \sqrt {2}\right) $
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