Solar saves money in two main ways.
It replaces power you would have bought. Every kilowatt-hour your panels produce is one you do not pay the utility for. As utility rates rise over time, that saving grows.
Net metering credits your extra production. When your panels generate more than you use, that surplus goes to the grid and your utility credits your account, which you draw down when you need grid power at night. See what net metering is.
Over the 25-plus year life of a system, those savings typically add up to far more than the cost of the system. The exact figure depends on your usage, your rates and your roof, which is why a personalized estimate matters. See what solar costs.