Correct. After multiplying both sides of the equation by $\displaystyle{2}{\left({x}+{1}\right)}{\left({3}{x}+{4}\right)}\usepackage{cmbright}\Huge\$ , he gets $\displaystyle{\left({3}{x}+{4}\right)}+{2}{\left({x}+{1}\right)}{\left({x}+{2}\right)}={8}{\left({x}+{1}\right)}\usepackage{cmbright}\Huge\$ .