Asolution that contains equal number of hydrogen and hydroxyl ions would be called

Neutral solution

Neutral solution have equal number of hydrogen ions and hydroxyl ions in a solution. Its pH is naturally equal to 7 and the charge in that solution is neutral since the concentrations are equal. In the event that the concentration is unequal, the solution would have had a positive or negative charge.

Additionally, acidic solutions have more hydrogen ions than hydroxide ions while an alkaline solution contains more hydroxide ions than hydrogen ions.