Solving transcendental equation with the unknown on both sides

Question

I need to find the point of intersection between a line segment and a sine wave.

Line: $y=-2x+1$
Wave: $y=\sin x$

I put both equations together.
$-2x+1=\sin x$

I attempt to isolate $x$.
$\sin x+2x=1$

Now I have no idea what to do next.