When we say "give equal weight" to something, we mean that we are treating it with the same level of importance as something else. There are several synonyms for this phrase, such as "give equivalent consideration," "treat with parity," "afford equitable attention," "assign matching significance," or "grant commensurate value." These phrases are useful when you need to ensure that different perspectives or arguments are being considered on the same level, without any bias or preference. Using synonyms for "give equal weight" helps to convey a sense of fairness and impartiality in decision-making or discussions.