The expression we have is:
![7+8x=0](https://img.qammunity.org/2023/formulas/mathematics/college/4ap8tfzs408pz71qvs09j4yuo40suic7ld.png)
And we need to solve to find the value of x.
Step 1. To solve for x we need to leave the term that contains x alone on one side of the equation. For that reason we will need to subtract 7 to both sides of the equation:
![7-7+8x=0-7](https://img.qammunity.org/2023/formulas/mathematics/college/ulc5z41x5fnsfwo03b20pz7zvkktvc8eh7.png)
And as you can see 7-7 on the left side will be 0, so we will be left only with 8x:
![8x=0-7](https://img.qammunity.org/2023/formulas/mathematics/college/pgu9692co890hpkj515pgujrij4aibm24u.png)
and on the right side, 0-7 is equal to -7:
![8x=-7](https://img.qammunity.org/2023/formulas/mathematics/college/73c8kecozqans53podf5l5up06bqvxf0wu.png)
Step 2. Now we need to divide both sides of the equation by 8 in order to solve for x:
![(8x)/(8)=-(7)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/24bpbe444act3a4joehj89dti1b7nz44ed.png)
8/8 on the right side, is equal to 1, so we will be left with x:
![x=-(7)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/xdlkow7mbz82f9cikxly8z47imiu7o5o6m.png)
And this way we have found the value of x.
Answer:
![x=-(7)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/xdlkow7mbz82f9cikxly8z47imiu7o5o6m.png)