Explanation
We are given the equation:
[tex]2(x-4)=10x-8-8x[/tex]We are required to determine whether it has a unique solution, no solution, or infinitely many solutions.
We can achieve this by solving the equation as follows:
[tex]\begin{gathered} 2(x-4)=10x-8-8x \\ 2x-8=10x-8-8x \\ -8+8=10x-8x-2x \\ 0=0 \end{gathered}[/tex]Hence, the equation has no solution.