5. A student solved the following equation using the following steps:

Question

2(2x+2)=4(x+4)

4x+4=4x+4

4=4

Infinitely many solutions

(2 points)
Based on the student's work, the equation was solved

The equation solved correctly would show that it has
solution(s).

Answer 1

Based on the student's work, the equation \( 2(2x + 2) = 4(x + 4) \) was manipulated correctly to arrive at the equation \( 4 = 4 \), which is a true statement. This indicates that the original equation is an identity, meaning it holds for all values of \( x \).

Thus, the equation solved correctly shows that it has infinitely many solutions.