Answer
$\frac{\pi}{3},\frac{5 \pi}{3}$
Work Step by Step
Need to find the range for $x$ for the equation
$2cosx-1$
$2cosx=1$
$cosx=\frac{1}{2}$
Since, $cosx>0$ on first and fourth quadrant thus, x must lie on $\frac{\pi}{3},\frac{5 \pi}{3}$