Answer:
One solution.
Explanation:
Given the expression:
[tex]5\mleft(i+2\mright)=8(i-1)[/tex]First, open the brackets:
[tex]5i+10=8i-8[/tex]Next, collect like terms:
[tex]\begin{gathered} 10+8=8i-5i \\ 18=3i \end{gathered}[/tex]Finally, divide both sides by 3:
[tex]\begin{gathered} \frac{18}{3}=\frac{3i}{3} \\ i=6 \end{gathered}[/tex]The equation has only one solution.