#### Answer

The solution is 0

#### Work Step by Step

3(z+2)=5z+6 Apply the distributive property
3z+3$\times$ 2 =5z+6
3z+6=5z+6 Subtract -6 from both sides
3z+6-6=5z+6-6
3z= 5z Subtract 5z from both sides
3z-5z=5z-5z
-2z=0
$\frac{-2z}{-2}$ =$\frac{0}{-2}$
z=0
The solution is 0
Check
3(z+2)=5z+6
3(0+2)=5$\times$0+6
3$\times$2=0+6
6=6