"To support the idea" means to provide reasons, evidence, or help for a particular concept or proposal to make it more believable or convincing. Full definition
76 percent of voters support the idea of spending federal money on early childhood education. (naesp.org)
I honestly don't support the idea of draws being fix. (justarsenal.com)
A growing body of research supported the idea that these characteristics were more easily achieved in smaller schools than in larger ones. (educationnext.org)