In order to find the solution, we need to isolate the variable x.
Then, by distributing the number -4 into the parenthesis, we have
![-4x-8+x=3x-8-5x](https://img.qammunity.org/2023/formulas/mathematics/college/n2psu2rosxq8mfd6583ljkcvvy8hbtwfkl.png)
Now, by combining similar terms, we obtain
![-3x-8=-2x-8](https://img.qammunity.org/2023/formulas/mathematics/college/66bkb14mfzalhpxjlqjz64d1qhraj3wgxf.png)
By adding 8 to both sides, we get
![-3x=-2x](https://img.qammunity.org/2023/formulas/mathematics/college/9yq0hypl36ka1d185qvyuvizlqo3cpn504.png)
This equation will be true as long as x is zero. Therefore, the answer is option C