Answer
$x=\frac{sin\left(\frac{1}{2}\right)+\pi}{3}$
Work Step by Step
$\arcsin(3x-\pi)=\frac{1}{2}$
$\sin(\arcsin(3x-\pi))=sin(\frac{1}{2})$
$3x-\pi=sin(\frac{1}{2})$
$3x=sin(\frac{1}{2})+\pi$
$x=\frac{sin\left(\frac{1}{2}\right)+\pi}{3}$
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