There are infinitely many solutions
Here, we want to determine the nature of solution
We start by getting the value of x
We have this as follows;
[tex]\begin{gathered} 2(3x+8)\text{ = 2x + 16 + 4x} \\ 6x\text{ + 16 = 2x + 4x + 16} \\ 6x\text{ + 16 = 6x + 16} \end{gathered}[/tex]From what we have, there are same terms on both sides. This means any number could serve as the solution to the equation if substituted for x
Hence, the nature of the solution is infinitely many solutions
