What's the solution to the equation -x – 2 = -2x + 1?
We wanna get one x all by itself on one side of the equation. If we add x to both sides, we find that:
-x – 2 + x = -2x + 1 + x-2 = -x + 1
Since we'd 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 both sides:
-2 + x = -x + 1 + x-2 + x = 1
All that's left is to add 2 to each side:
-2 + x + 2 = 1 + 2x = 3
We also could've added 2x to each side from the start:
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