A student wants to solve a rational equation by multiplying the entire equation by a common denominator. He is solving this problem:

$\displaystyle\frac{{1}}{{{2}{\left({x}+{1}\right)}}}+\frac{{{x}+{2}}}{{{3}{x}+{4}}}=\frac{{8}}{{{2}{\left({3}{x}+{4}\right)}}}\usepackage{cmbright}\Huge\$

After he multiplies by a common denominator, what should his equation look like?