How many solutions?
The question
2(−x + 6) = −2x + 12
How many solutions?
2(−x + 6) = −2x + 12
2(−x + 6) = −2x + 12
2(−x + 6) = −2x + 12
2(−x + 6) = −2x + 12
x is gone
12 = 12is true
infinitely many solutions
- Collect the x terms on one side and see what is left.
- First multiply out the bracket.
- Both sides have the same number of x, so taking it off both sides removes x completely.
- What is left is 12 = 12, which is true whatever x is. So every number works — infinitely many solutions.
How it works.
- 01
Collect the x terms on one side and see what is left.
- 02
First multiply out the bracket.
- 03
Both sides have the same number of x, so taking it off both sides removes x completely.
- 04
What is left is 12 = 12, which is true whatever x is. So every number works — infinitely many solutions.