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 was solved correctly in terms of the manipulation and simplification of the expressions. However, the interpretation of the resulting equation would be evaluated further.

The equation solved correctly would show that it has infinitely many solutions. The final step, \(4 = 4\), is a true statement that indicates that any value of \(x\) will satisfy the original equation, as both sides are always equal regardless of \(x\).