There is one solution to the equation
Here, we want to check the nature of the solution to the equation
We can start this by evaluating the equation;
[tex]\begin{gathered} 0.4(5x-15)\text{ = 2.5(x+3)} \\ 2x\text{ - 6 = 2.5x + 7.5} \\ 2.5x-2x\text{ = -6-7.5} \\ 0.5x\text{ = -13.5} \\ x\text{ = }\frac{-13.5}{0.5} \\ x\text{ = -27} \end{gathered}[/tex]As we can see, only a single solution exists for the equation