Solve the equation - x - 2 = - 2x + 1.
We would like to have one x all by itself on one side of the equation. If we add x to either side of the equation, we find that
- 2 = - x + 1
Since we would like to get a positive x on one side of the equation—we made a New Year's resolution to be more upbeat—we add another x to either side:
- 2 + x = 1
All that is left is to add 2 to each side and write
x = 3
We could also have added 2x to each side from the start: