Answer:
[tex]-x + 9[/tex]
Step-by-step explanation:
Hello!
We want to combine any like terms and distribute the signs properly to the terms in the parentheses.
First, remove the parentheses by distributing the signs:
- [tex]-(2x - 1) + 3(x + 4) - 2(x + 2)[/tex]
- [tex]-(2x) - (-1) + 3(x) + 3(4) - 2(x) - 2(2)[/tex]
Remember that negative times negative is positive
- [tex]-2x + 1 + 3x + 12 - 2x - 4[/tex]
- [tex]-2x + 3x - 2x + 1 + 12 - 4[/tex]
- [tex]-x + 9[/tex]
The simplified form is [tex]-x + 9[/tex].
Another way to think about the negative sign is by replacing it with -1, so essentially you are multiplying the whole parentheses by -1.
