Check out page 25 in the book, it'll give you a table of logical equivalences.
Here is the solution to your posted problem:
What you have to do, and this applies to most of the problems, is rewrite the implication as an AND/OR logical equivalence (page 25) then, regroup items, add items in, and manipulate them to get them in the form of the RHS.
You can re-write things because they have the same truth table values as other statements.
One of the important rules in discrete is DeMorgans laws. Read the write up on page 25 in the book, they lay it out nicely and have examples that will be helpful.
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