Answer :

[tex]-\frac{3}{2};\ 6;\ x;\ 96;\ -384\\\\6:\left(-\frac{3}{2}\right)=6\cdot\left(-\frac{2}{3}\right)=-4\\\\-384:96=-4\\\\hmmm...\ I\ think:x=96:(-4)=\boxed{-24}\leftarrow answer\ \boxed{A}[/tex]

[tex]Check:\\6\cdot(-4)=-24\\-24\cdot(-4)=96[/tex]