Question

indicate whether there is exactly one solution, infinitely many solutions, or no solution to the equation shown. 2x-4=2(x-2)

Answer 1

In order to find the number of solutions of this equation, let's try to solve it:

$\begin{gathered} 2x-4=2(x-2) \\ 2x-4=2x-4 \\ 0=0 \end{gathered}$

Since the final sentece is a true statement, any value of x is a solution to this equation, therefore this equation has infinitely many solutions, so the correct option is the second one.