**"Equivocate" - meaning to avoid giving a clear or direct answer to a question**

Can someone clarify when the word "equivocate" should be used in a sentence?

**Example** ([found here][1]):

"I can tell when you're stressed out, because you'll equivocate and avoid all of my questions."

Since "equivocate" means avoiding to give a clear or direct answer to a question, why would the person in the example add "and avoid all off my questions" after saying that he'll equivocate? Isn't that counterintuitive? 

**Also, is it possible to *equivocate* with someone? - Example ([found here][1]):** 

"I don't appreciate when you equivocate with me, it seems disingenuous."

I assume *equivocate* was used incorrectly in this sentence as it would be the same as saying: "I don't appreciate when you avoid giving me a clear or direct answer with me, it seems disingenuous."


**My intentions with this question is to understand when and how to use *equivocate*, 
*it would be great if you in your answer could include my examples and explain how it might be right or wrong to use it in that scenario.***
  [1]: http://sentence.yourdictionary.com/Equivocate