#### Answer

The solution is -7

#### Work Step by Step

2(z-2)=5z+17 Apply the distributive property
2z-4=5z+17 Add 4 to both sides
2z-4+4=5z+17+4 Simplify
2z=5z+21 Subtract 5z from both sides
2z-5z=5z+21-5z Simplify
-3z=21 Divide by- 3 on both sides
$\frac{-3z}{-3}$=$\frac{21}{-3}$
z= -7
The solution is -7
Check
2(z-2)=5z+17 Replace z with -7
2(-7-2)=5(-7)+17 Simplify inside parentheses
2(-9)=5(-7)+17 Multiply
-18=-35+17
-18=-18