\(\Leftrightarrow\sqrt{3}cos5x-\left(sin5x+sinx\right)-sinx=0\)
\(\Leftrightarrow\sqrt{3}cos5x-sin5x=2sinx\)
\(\Leftrightarrow\frac{\sqrt{3}}{2}cos5x-\frac{1}{2}sin5x=sinx\)
\(\Leftrightarrow sin\left(\frac{\pi}{3}-5x\right)=sinx\)
\(\Leftrightarrow...\)