Scripture says to bear your own burdens. "For every man shall bear his own burden." Galatians 6:5. But, it also says "Bear ye one another's burdens, and so fulfill the law of Christ" Galatians 6:2. A contradiction? No.
We are not to sit on our backsides waiting for a handout, but we are to bear our own burdens in as much as we are given the ability to do so. But, when one looses the ability to bear his own burden , he becomes dependent on others. And it is at that point, those "others", if they are following Christ, will share in or take on the burden of another.