Hello!
Step 1. Simplify each side of the equation... 1/2 x−6=−6+1/2x and 1/2 x+−6=−6+1/2x
Step 2. Subtract 1/2x from both sides... 1/2 x−6−1/2x=1/2x−6−1/2x
-6=-6
Step 3. Add 6 to both sides... −6+6=−6+6
0=0
Final answer: Basically all reall numbers could be a possible solution to this equation.
Hope I could help! :)