The published tow rating is an estimate by the manufacturer based on a number of assumptions. You need to do the math based on your actual weights to be sure. Your MH's published tow rating is based on the assumption that you'll be fully loaded to the specified Gross Vehicle Weight (GVW). In simple terms, this is the weight of you MH, fully loaded for travel including the tongue weight of your toad or trailer. Your actual GVW may be less than the manufacturer's GVW, but you'll need to take it to a truck scale to be sure. It could also be more which means you'll need to shed some weight to get to even the 5,000# limit.
There are a number of websites online calculators to help you with the rest of the calculation. Here is one page with a lot of information that will help you understand the math:
Remember that, when flat towing a toad, the tongue weight is negligible. When towing anything else, it can be a significant factor in the computations.