A way to avoid that problem is to make the carbon tax more targeted in the beginning. People in rural are not in danger if we started to tax oil, gas and coal

A way to avoid that problem is to make the carbon tax more targeted in the beginning. People in rural are not in danger if we started to tax oil, gas and coal power plants based on how much they pollute. After that we can add a carbon tax to the transportation sector by adding a tariff that scale with carbon pollution. After that, carbon tax newly built home heating systems. After that, continue to add new carbon taxes while monitoring who get effect until one can't add more without harming people who has no choice.