4 (3m+4) = 2 (6m+8)

Is that an identity or is it no solution?

Its identity because both sides equal each other once you work them out 12m+16=12m+16

Identity means equation that is always true.

No Solution is a equation that is not true.

So,

First get rid of the parenthesis.

4 (3m + 4) = 2 (6m + 8)

12m + 16 = 12m + 16

12m - 12m = 16 - 16

0 = 0 ... which is true

So it is a identity.