Slide the pH and watch the two ions trade places. Their product never changes, because Kw holds it fixed at any one temperature.
Warm water splits a little more freely. So neutral moves below 7, even though the water is still perfectly balanced.
Pure water at 25 °C holds equal amounts of both ions. Each one sits at 1.0e-7 mol/L.
Drop the pH by one unit and hydronium goes up ten times. Hydroxide drops ten times to keep the product fixed.