What are the steps of beta-oxidation of fatty acids?

The four main steps of beta-oxidation of fatty acids are: dehydrogenation, hydration, oxidation, and thiolysis. During dehydrogenation, acyl-CoA becomes oxidized via acyl CoA dehydrogenase. The result is a single double bond between carbon 2 and carbon 3 of the acetyl-CoA chain and generating the end product trans-delta-2-enoyl CoA. This step utilizes FAD and generates FADH2 to later enter the Krebs cycle and form ATP. In step 2, enoyl CoA hydratase carries out a hydration reaction of the double between carbon 2 and carbon 3. This generates the end product of L-β-hydroxyacyl CoA, which has a proton at carbon 2 and a hydroxyl group at carbon 3, replacing the double bond. This step also requires water, however no energy is produced yet. In step 3, the hydroxyl group is oxidized by NAD+ in a reaction via beta-hydroxyacyl CoA dehydrogenase. Electrons and 2 protons are removed from the hydroxyl group to produce a molecule of NADH. In step 4 (thiolysis) the cleavage of the bond between carbon 2 and carbon 3 occurs by CoASH. This process is catalyzed via beta-ketothiolase and is a type of thiolytic reaction. This step produces a single molecule of acetyl CoA and a fatty acyl CoA which is 2 carbons shorter than it originally was when it entered the beta oxidation cycle. This process may occur more than once until the even-chain fatty acid is fully converted into acetyl CoA and can re-enter the beta-oxidation cycle.