By definition, an identity is true for all values of the variable. So the solution is the whole of the domain.
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16 = 16 is an identity, not an equation. An identity does not have solutions.
It is true for all permissible values of any variables in the equation. More simply put, it is always true.
The difference is that one is true for all values of "x" (or whatever variable you use), the other for no value of the variable. It isn't always obvious just by looking at the equation whether is an identity (true for all values of the variable), or whether it has one solution, several solutions, or none. However, if you solve it, you'll soon find that out.
If one side is like this: 0=2 then no it is not equal to in this case you would do a 0 with a line through it. If it is like this: 2=2, or x=2 then it is equal to.P.S. If it is like this 2=2 then its called the identity property.
One is the multiplicative identity or the identity of/for multiplication.