Much of the problem is with the understanding and definition of 'rights'.
You are talking of positive rights as 'basic' rights. They aren't. These so-called rights have been decreed by, for example, supra-national bodies such as the United Nations. They are not god-given or held by us by virtue of our being born (I put it that way to cover the theists and non-theists among us).
We are born with life. Life, essentially, is the only right we have and with it comes the defense of our lives (and by extrapolation, liberty and the fruits of our labour) should anyone try to take it away - this is why negative rights is the term used to describe this type of right.
The rights you are talking about are positive rights, which by their very nature involve the trespassing of the negative rights of others - to take away from their liberty (by, e.g., legislating what they can and cannot do) and the fruits of their labour, both in order to provide for others.
In other words, everyone has negative rights. To encroach upon the negative rights of some in order to provide positive rights to others is wrong.