Since no one has replied to this I'll post the link to the site that taught me how to do it. It's too long to type out as well...
Math Forum - Ask Dr. Math
How to solve Linear Diophantine Equation of three variable, i.e., Diophantine Equation of the form ax+by+cz=d? Is there any process to solve this equation like two variable Diophantine Equation, ax+by=c?
Since no one has replied to this I'll post the link to the site that taught me how to do it. It's too long to type out as well...
Math Forum - Ask Dr. Math