$sin\left(\frac{\pi}{6}+x\right)=\frac{1}{2}\left(cos\:x+\sqrt{3}sinx\right)$

$\frac{3x}{5}+7=2x$

$\lim_{x\to\infty}\left(x^2+1\right)^{\frac{1}{x}}$

$\int3x\cdot e^{-4x}dx$

$5x-3=3x-17$

$\left(\sin\left(2\right)+\cos\left(4\right)\right)^2$

$\frac{144a^2b^4-4}{12ab^2-2}$