If you want people to support anything, show them how it benefits them. Do it as directly as possible - new jobs in their town, lower energy bills from a new plant, etc. People will generally follow the money.

What won't work is something like "it'll be better for the economy in the entire country, so put up with some disruption for a while." No one likes higher electricity bills while a power plant is being constructed, a new building going up too close to their homes that doesn't create jobs they can apply for, etc. It's a losing message to promise the payoff only years later or indirectly.