The phrase "turn the scales" means to tip the balance in one's favor. There are a number of synonyms that convey a similar sentiment. For example, "shift the balance," "alter the balance," and "level the playing field" all suggest a change in the situation that has a positive impact. Other options might include "even the odds," "change the equation," and "rebalance the scale." Whatever word choice one makes, the underlying idea is the same: to create an advantageous position by making a decisive move. Whether in business, politics, or personal relationships, turning the scales can be a powerful tool for achieving success.