In order to solve this equation for x, we need to isolate the variable x in one side of the equation. So we have that:
[tex]\begin{gathered} \frac{1}{2}x-9=\frac{1}{4}x+3 \\ 4(\frac{1}{2}x-9)=4(\frac{1}{4}x+3) \\ 2x-36=x+12 \\ 2x-x=12+36 \\ x=48 \end{gathered}[/tex]So the value of x is 48.