Answer: All real numbers; (−∞ ,∞) ; infinite solutions
Explanation:
![-(8x +4)-1=-7x- (x + 5)](https://img.qammunity.org/2023/formulas/mathematics/high-school/9i3rtkvj7e979dgssurpmrdwf818l68c3f.png)
You want to distribute the (-) in (-(8x +4)) and (- (x + 5))
![(-8x - 4) - 1 = -7x (-x - 5)](https://img.qammunity.org/2023/formulas/mathematics/high-school/ztq5unvjekmmjlue5hfnaw5ftafkhh5f8r.png)
Combine like Terms on Both sides:
![-8x - 5= -8x - 5\\\\\\](https://img.qammunity.org/2023/formulas/mathematics/high-school/etu4nf8dnjlwgnrv3ca82ir4qze31oekna.png)
Add 5 to the right, and Add 8x to the left. (you want to cancel)
![-8x - 5 = -8x -5\\+8x +5 \ \ +8x +5\\\\](https://img.qammunity.org/2023/formulas/mathematics/high-school/ua85qk1291welogxvwgxw52luw947f2ogh.png)
You are left with:
![0 = 0](https://img.qammunity.org/2023/formulas/mathematics/high-school/1e5ta423zaa4spg5160yg5jpv8nssnucma.png)
If you are end with 0=0, that means both equations are equal regardless of the variables. Therefore the answer is all real numbers; (−∞ ,∞) ; infinite solutions. You could check by substituting any values, and getting the same answers on both sides.