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0.4(5x-15)=2.5(x+3) solution is it infinitely or no solution or one solution

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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;


\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{ = }(-13.5)/(0.5) \\ x\text{ = -27} \end{gathered}

As we can see, only a single solution exists for the equation

User Ladislav Indra
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