This question is about a linear equation.
The given equation is
![-2x-12=9x+18](https://img.qammunity.org/2023/formulas/mathematics/college/s1nkn8onz5yevygan2u574rk2o29yooyyt.png)
First, we need to organize the equation. On the right side terms without variables, on the left side with variables.
![-2x-9x=18+12](https://img.qammunity.org/2023/formulas/mathematics/college/msnkmfwfp8os9vy3a9v0zdfdvqrqttdisq.png)
Second, we reduce like terms
![-11x=30](https://img.qammunity.org/2023/formulas/mathematics/college/xb97ywgetkqfhpgcibarfp6ghqkq91nivc.png)
Third, we divide by -11
![(-11x)/(-11)=(30)/(-11)\rightarrow x=-(30)/(11)](https://img.qammunity.org/2023/formulas/mathematics/college/2nqvz6r5tmnllh7rbaql702vp3taumobcp.png)
Therefore, the variable is equal to -30/11.