Take revenue from carbon tax and distribute it as UBI. This gives everyone the money to pay the average carbon use, and encourages carbon use to reduce on both the supply and demand side.
Have you just arrived here as a time-traveller from Victorian London?
I have fabulous news! Forsooth, in this, the Year of Our Lord, Two Thousand and Score, Plus One, it has come to pass that mankind hath, by workings most subtle, made manifest many wondrous heating apparatuses that requireth neither coal nor coke, nor indeed train oil.