Solving $\sin$($x$ - $\frac{π}{5}$) - $\cos$($\frac{π}{10}$) = 0. Find all the exact angles between $0$ and $π$, which satisfy the equation
$\sin(x - \frac{π}{5}) - \cos(\frac{π}{10}) = 0$.
I have tried using the sum and difference formula for the $\sin$ function, but I'm still stuck after that. Dividing throughout by $\cos$ seems out of question as well.

HINT:
Use  $\sin\left(\dfrac\pi2-A\right)=\cos A$
and $\sin x=\sin B\implies x=n\pi+(-1)^nB$ where $n$ is any integer
OR $\cos\left(\dfrac\pi2-C\right)=\sin C$
and $\cos x=\cos D,x=2m\pi\pm D$ where $m$ is any integer
