Here is the back up better than anything I could write.

“Jesus plainly sets this forth in His message on the sheep and goats: “And these will go away into eternal punishment, but the righteous into eternal life” (Matt. 25:46; italics added). The punishment of the lost in hell is coextensive to the bliss of the righteous in heaven—both are everlasting.”

https://www.ligonier.org/learn/articles/annihilation-or-eternal-punishment/