Answer: [tex]-\frac{1}{2}(x-12)[/tex]
==================================================
Explanation:
The terms of [tex]-\frac{1}{2}x+6[/tex] are [tex]-\frac{1}{2}x[/tex] and [tex]6[/tex]
Divide each term by -1/2 to factor out the -1/2
If we divide [tex]-\frac{1}{2}x[/tex] over -1/2, then we'll get x. Basically the -1/2 terms cancel.
If we divide 6 over -1/2, we get -12. It might help to think of it as 6/(-0.5) = -12.
So overall we have [tex]-\frac{1}{2}x+6 = -\frac{1}{2}(x-12)[/tex]
You can use the distribution property to check the answer.
