It is simple. Christ settled this argument nearly 2,000 years ago.
Matthew 25, NASB
46"These will go away into eternal punishment, but the righteous into eternal life."
Two opposites here, eternal punishment or eternal life...
Rom 6:23 For the wages of sin is death, but the gift of God is eternal life in Christ Jesus our Lord.
Here is some eternal fire...
Jud 1:7 as Sodom and Gomorrah, and the cities around them in a similar manner to these, having given themselves over to sexual immorality and gone after strange flesh, are set forth as an example, suffering the vengeance of eternal fire.
Are Sodom and Gomorrah still burning? Or was the fire an eternal judgment?
47 "If your eye causes you to stumble, throw it out; it is better for you to enter the kingdom of God with one eye, than, having two eyes, to be cast into hell,
48 where THEIR WORM DOES NOT DIE, AND THE FIRE IS NOT QUENCHED."
In addition, Luke 16:19-31 clearly speaks of fire providing eternal torment, not destruction. People who claim annihilation is what the Bible teaches will claim the "second death" is a destruction of the body, but it is not. The "second death" is the spiritual death, which they began to suffer on this Earth by not having a relationship with Jesus Christ and which will be fully realized -- forever -- in the eternal flames of hellfire.
see Jude 7.
Jer 17:27 "But if you will not heed Me to hallow the Sabbath day, such as not carrying a burden when entering the gates of Jerusalem on the Sabbath day, then I will kindle a fire in its gates, and it shall devour the palaces of Jerusalem, and it shall not be quenched." ' "
The gates of Jerusalem still burning? Unquenched simply means not put out, doesn't mean it won't burn out eventually, means it will not be quenched.
Oh and there are a few more straightforward passages here...
Eze 18:4 "Behold, all souls are Mine; The soul of the father As well as the soul of the son is Mine; The soul who sins shall die.
Eze 18:20 The soul who sins shall die. The son shall not bear the guilt of the father, nor the father bear the guilt of the son. The righteousness of the righteous shall be upon himself, and the wickedness of the wicked shall be upon himself.
Mat 10:28 And do not fear those who kill the body but cannot kill the soul. But rather fear Him who is able to destroy both soul and body in hell.
Mal 4:1 "For behold, the day is coming, Burning like an oven, And all the proud, yes, all who do wickedly will be stubble. And the day which is coming shall burn them up," Says the LORD of hosts, "That will leave them neither root nor branch.
Mal 4:2 But to you who fear My name The Sun of Righteousness shall arise With healing in His wings; And you shall go out And grow fat like stall-fed calves.
Mal 4:3 You shall trample the wicked, For they shall be ashes under the soles of your feet On the day that I do this," Says the LORD of hosts.