Given the equation, we can solve through steps:
1. Distribute
1/2 • x = 1/2x
1/2 • 6 = 3
2. Simplify
1/2x + 3 = 1/2x - 9
3. Add 3 to both sides
1/2x + 3 + 3 = 1/2x - 9 + 3
Step 4. Simplify
1/2x + 6 = 1/2x - 6
We have our solution: there is no solution. The coefficients are of a common value and the constant is comprised of opposite integers.