Answer:
![x=2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/l44oth01qqbnuop6qxtvmqlzuv7kvr7xrb.png)
Explanation:
![x+(-4)=-2](https://img.qammunity.org/2021/formulas/mathematics/college/2uygqs8251zpzlp4aw5gw8monqw2lghs9g.png)
Distribute the positive into the parentheses. A positive multiplied by a negative is a negative, therefore the -4 remains, and the parentheses can be removed:
![x-4=-2](https://img.qammunity.org/2021/formulas/mathematics/college/motxtr2amoxgk6esoq1yio3xfvnksulqzd.png)
Add 4 to both sides of the equation:
![x=2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/l44oth01qqbnuop6qxtvmqlzuv7kvr7xrb.png)
_
Check your work by substituting the solved value of
into the initial equation:
![x+(-4)=-2](https://img.qammunity.org/2021/formulas/mathematics/college/2uygqs8251zpzlp4aw5gw8monqw2lghs9g.png)
![2+(-4)=-2](https://img.qammunity.org/2021/formulas/mathematics/college/pupzfp04g5c1kssk8w5vmi9dcnhshirms7.png)
![2-4=-2](https://img.qammunity.org/2021/formulas/mathematics/college/l3iajwefhtpcphfquzgcjdemd2el0nl8pk.png)
![-2=-2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1aw0pvwqrfbge93c1x02ckg42rugtqz3ne.png)
Since both sides of the equation are equal, our answer is correct!