We have the following:
To be equivalent they have to be equal, therefore we set both expressions equal
[tex]\frac{1}{2}\cdot(4c+8)+3c-2=4c+2\cdot(0.5c+1)[/tex]
we simplify on both sides, and we are left
[tex]\begin{gathered} 2c+4+3c-2=4c+1c+2 \\ 5c+2=5c+2 \end{gathered}[/tex]
When they are equal, it means that if they are equivalent
