Given the equation:
[tex]3a+\frac{1}{3}(6a-9)=\frac{1}{2}(10a-6)[/tex]To know which statement is true about it, let us first simplify it.
[tex]\begin{gathered} 3a+2a-3=5a-3 \\ 5a-3=5a-3 \end{gathered}[/tex]With the value on the right-hand side the same as the value on the left-hand side, there is no way to evaluate further.
We conclude that THE EQUATION HAS NO SOLUTION.