It means that the equation has infinite solutions.
Consider the given equation, [tex]2x +5 = 3 +2(x +1)[/tex]. If we distribute [tex]2[/tex] to [tex]x +1[/tex] and then add like terms, we then end up with equation [tex]2x +5 = 2x +5[/tex]. We can already tell that both sides of the equation ate exactly the same but they are just written differently. When both sides of equations are the same, we end up having infinite solutions.