Doing evil is an abomination to kings

Possible meanings are 1) kings hate evil deeds that their subjects commit or 2) Yahweh hates kings who commit evil deeds.

for a throne is established by doing what is right

Here the word "throne" represents the king's rule. This can be stated in active form. Alternate translation: "for the king establishes his reign by doing what is right" (See: rc://en/ta/man/jit/figs-metonymy and rc://en/ta/man/jit/figs-activepassive)