I believe that 'equalization payment' is the term to split assets equally, this is a one time thing.
What you are describing is spousal support (SS), which I don't think she is entitled to because she switched jobs after you separated. Perhaps you are referring to CS (Child Support). They are different, calculated different, and taxed different.
How was this entitlement determined, have you started to pay it, is it a court order?
In my opinion you should not pay SS. Your CS should be adjusted yearly and based on your actual income, so you would pay her some CS (your CS table amount - her CS table amount is what you would pay). Then any extraordinay (aka special) expenses, of which not ALL activitites are, you pay in proportion to your incomes. Ones that are not 'special' meaning that almost all parents in your economic situation would do it - clothes, movies, maybe a normal camp, would be split 50/50 because CS has evened the amount of child money in each house. Medical, dental, big things, are unexpected and/or special - those you pay relative to your incomes.