What is the difference between 均等 and 平等 and 等しい？ All of them can be adjectives. Could you make some examples to show the difference?
均等 is about evenness/uniformness in the mathematical/physical sense. 平等 is about fairness/equality in the ethical/political sense (i.e., being free from discrimination). 等しい is a wago version that just means "equal", and is often interchangeable with the other two. Unlike typical wago, 等しい is a stiff word (同じ is used in casual situations).
(BTW 均等な社会, "uniformed society", sounds to me like a dystopia.)