Hello !
Answer:
![\boxed{\sf x=1}](https://img.qammunity.org/2022/formulas/mathematics/college/tkg5o023adl6b17h5jpkqgyev3zkw54uqi.png)
Explanation:
We want to find the value of x that satisfies the following equation :
![\sf f(x)=5](https://img.qammunity.org/2022/formulas/mathematics/college/ixsm6v14ya5v8qusirm771bhcbjf9zx99e.png)
First of all, let's replace f(x) with its expression :
![\sf -5x+1=-4](https://img.qammunity.org/2022/formulas/mathematics/college/ddpw4lhfz13egsdo6rm1zhgw701pouu4xi.png)
Then let's substract 1 from both sides :
![\sf -5x+1-1=-4-1\\-5x=-5](https://img.qammunity.org/2022/formulas/mathematics/college/fcmf6ictwi5m7i1176fcnj4meagrjat7uz.png)
Finally, let's divide both sides of the equality by -5 :
![\sf (-5x)/(-5) =(-5)/(-5) \\\boxed{\sf x=1}](https://img.qammunity.org/2022/formulas/mathematics/college/66aoxe472nw6nwentatvz7n3qvf39k43z5.png)
Have a nice day ;)