Combine cabbage, carrots, beet, and garlic in a large glass bowl.
Stir together water, sugar, salt, and pepper in a large saucepan over medium heat and bring to a boil. Stir in vinegar and oil and heat for 30 seconds, but do not boil anymore.
Pour hot brine over vegetables and stir to combine. Place a plate on top of the vegetables and weigh down with a bowl of water or a full can of beans. Press at room temperature, 8 hours to overnight.
Transfer salad into 8 pint-size jars, seal, and store in the refrigerator.
