i need some help on figuring out how to find the distributive propertie

The initial equation is:
[tex]-4(\frac{3}{2}x-\frac{1}{2})=-15[/tex]So if we use the distribution propertie, we have to multiply the 4 for all term in the parenthesis so:
[tex]-4\cdot\frac{3}{2}x+4\cdot\frac{1}{2}=-15[/tex]and then we simplify:
[tex]-6x+2=-15[/tex]So is option D)