What issues did the Declaration of Independence fail to resolve regarding equality?

The Declaration of Independence was not intended to resolve equality issues.

It was as much to get the support of the colonists for revolution as to notify the Crown that it might just as well go along with our declared independence because there was no turning back.

This is just as well because the definition of what constitutes equality then is far different than it is today.

For example slave ownership was still legal and would remain so for the next 88 years.

Another example is that property owning males were the only ones allowed to vote.

Equality and inequality were issues were more the topics of the Articles of Confederacy which we used as the founding documents for a dozen years before the US Constitution was ratified.