x/2= 1+(2x-4)/(x+4)

$${\frac{{\mathtt{x}}}{{\mathtt{2}}}} = {\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\frac{\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{4}}\right)}{\left({\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4}}\right)}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{0}}\\ {\mathtt{x}} = {\mathtt{2}}\\ \end{array} \right\}$$