#### Answer

Identity; Solution: All Real Numbers.

#### Work Step by Step

$\frac{1}{2}(6x+20)=x+4+2(x+3)$
Distribute and add appropriate terms.
$3x+10=3x+10$
All terms cancel out leaving you with a true statement (0=0), and the equation is therefore an identity.
$0=0$
Identity; Solution: All Real Numbers.