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

The student's work shows that they correctly simplified the equation \(2(2x+2)=4(x+4)\) to \(4x + 4 = 4x + 4\), which indeed simplifies to the statement \(4 = 4\). This indicates that the two sides of the original equation are always equal, regardless of the value of \(x\).

Since this results in a true statement ( \(4 = 4\) ) that holds for all values of \(x\), the equation has infinitely many solutions.

In summary, the equation solved correctly shows that it has infinitely many solution(s).