Given:
![7x+3x-18=6(x+3)](https://img.qammunity.org/2023/formulas/mathematics/college/oalbxab12vkyqn3b5gyrtaoz4xskxp71q2.png)
The solution will be done by performing the justifications provided as follows:
1) Given
![7x+3x-18=6(x+3)](https://img.qammunity.org/2023/formulas/mathematics/college/oalbxab12vkyqn3b5gyrtaoz4xskxp71q2.png)
2)Distributive property or Multiplicative property of equality:
![(7+3)x-18=6x+18](https://img.qammunity.org/2023/formulas/mathematics/college/4rs09ernkiop4hyinqvgwiuj4jcpy915j3.png)
3)Addition property of equality:
![10x-18=6x+18](https://img.qammunity.org/2023/formulas/mathematics/college/s77q1twrp9xp46psczckd55melko85xknc.png)
4)Combine like terms:
![10x-6x=18+18](https://img.qammunity.org/2023/formulas/mathematics/college/uwshba97itdm8oxwg9eougzturapr151bd.png)
5)Distributive property and addition property of equality:
![(10-6)x=36](https://img.qammunity.org/2023/formulas/mathematics/college/ekxay98350dtl8djpqwjpl121kgxska7ps.png)
6)Subtraction property of equality:
![4x=36](https://img.qammunity.org/2023/formulas/mathematics/college/d7trmsvnce25wzrseogwi43ten4h7s6rpn.png)
7)Division property of equality:
![\begin{gathered} x=(36)/(4) \\ x=9 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/5rib4w0bwzkkj5uyg9zhayy9af5at3fnmt.png)
These are the steps followed and result is x = 9.