Well it’s complicated because there really isn’t a fine line between the two. Left hand path religions are more like circles in a venn diagram than boxes in a stack. Plus, there is no authority around which these religions are based so they are bound to shift over time and between individuals.
The simplified answer is that Luciferianism is based around illumination and self improvement, while Satanism is based around carnal desire and putting yourself first. Being a simplified answer, it may be incorrect in some situations.
….and I call myself a Luciferian Satanist because I believe Lucifer is a satan, and my shit is based on all of the above.