Alrighty, so, 4x-6=22 is the original equation.
This means that Kim has to add 6 to both sides of the equation. Knowing this leaves us with answers B.) and C.) because A.) and D.) say that Kim subtracts 6.
The Additive Property of Equality says that if you add the same number to both sides of an equality then the sides continue to be equal to each other. This is exactly what happened in the equation so C.) is your answer.
Hope this helps! (: