Just becuse you close the card does not eliminate the debt that you owe or everyone would be doing it.
Your options can include filing for bankrupcy protection, taking out a consolidation loan, not paying the credit card, paying what you can afford, finding a second - third job to help make up the difference, etc
Filing for BK, not paying what you owe, options like these can seriously impact your credit score and can stay with you for several years.
The only person who can really decide what to do is you. Perhaps you can consult family members to see if they can help you out.