now, if "x" splits CD in two equal halves, that means "x" is the midpoint of CD
[tex]\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
C&({{ -2}}\quad ,&{{ 4}})\quad
% (c,d)
D&({{ 3}}\quad ,&{{ 7}})
\end{array}\qquad
% coordinates of midpoint
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
x=\left( \cfrac{3-2}{2}~,~\cfrac{7+4}{2}\right)[/tex]
