#### Answer

an identity

#### Work Step by Step

Using the properties of equality, the solution to the given equation, $
3(t+2)+t=2(3+2t)
$, is
\begin{array}{l}
3t+6+t=6+4t
\\\\
4t+6=6+4t
\\\\
4t-4t=6-6
\\\\
0=0 \text{ (TRUE)}
.\end{array}
Since the solution above ended with a TRUE statement, then the given equation is $\text{
an identity
.}$