Question 840894
You've got most of it. Only #2 needed changing.

1. 2(3x+1)=32   1. Given
2. 6x+2=32      2. Distributive Property
3. 6x+2-2=32-2  3. Sub. Property of Equality
4. 6x=30        4. Simplify (Identity Property also 6x+0=6x)
5. (6x)/6=30/6  5. Div. Property of Equality
6. x=5          6. Simplify (Identity Propery also (6/6)x=x)