"I come with both of my parents."
Translation:Ich komme mit meinen beiden Eltern.
No, it would be "Ich komme mit beiden Eltern". With "meinen" removed, there is no preceding article - therefore "strong declension". Read this (strong declension) and scroll down to read weak and mixed as well. Hopefully that helps. http://en.wikipedia.org/wiki/German_declension#Strong_inflection.5B6.5D.5B7.5D