Given the equation:
![3a+(1)/(3)(6a-9)=(1)/(2)(10a-6)](https://img.qammunity.org/2023/formulas/mathematics/college/yi6wz8fvruxgqxubvkwp18oqbaiddy6sdu.png)
To know which statement is true about it, let us first simplify it.
![\begin{gathered} 3a+2a-3=5a-3 \\ 5a-3=5a-3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/5p5gnxx6urx4kavcowqky1ut56u1vdah5m.png)
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.