Let's find and fix the error in your solution:
Starting equation: -6x - 14 = 8
First, add 14 to both sides to isolate the variable term:
-6x - 14 + 14 = 8 + 14
-6x = 22
Now, you correctly have -6x = 22.
To solve for x, divide both sides by -6, not -6/6:
(-6x) / (-6) = 22 / (-6)
This will give you the correct solution:
x = -22 / 6
Now, let's simplify -22/6:
x = -22 / 6 = -11 / 3
So, the correct solution is:
x = -11/3