Those are interchangeable terms. Both refer to meds that contain only T4. However, be aware that differnt brand names and generic do contain different inactive ingredients (fillers). Sometimes people have a reaction to a filler and changing brands can help that.
Thyroxine is the thyroid hormone T4. Levothyroxine is the generic name of T4 meds of which there are numerous brands, including the following. Each of these brands contain thyroxine, but differ in the filler material used in manufacture of the pills.
Eltroxin
Estre
Euthyrox
Levo-T
Levotabs
Levothroid
Levoxyl
Novothyrox
Synthroid
Thyrox
Unithroid
There is also a new one that is a gelcap of thyroxine, with no filler. It is called Tirosint.