How did the serpent seduce Eve to eat of the tree of the knowledge of good and evil?

Actually, it was essentially by using the same tactics as classic Communism and liberal leaders, which was to persuade the victim of deception that she was being treated unjustly, being kept from what should be hers by the one who possessed it. And with the devil playing the role of advocate for the victim (in order to selfishly obtain power for himself), fostering the victim-entitlement mentality, and enticing her to illicitly obtain what belonged to the one who rightfully possessed it, as if it was her right.

Now the serpent was more subtil than any beast of the field which the Lord God had made. And he said unto the woman, Yea, hath God said, Ye shall not eat of every tree of the garden? And the woman said unto the serpent, We may eat of the fruit of the trees of the garden: But of the fruit of the tree which is in the midst of the garden, God hath said, Ye shall not eat of it, neither shall ye touch it, lest ye die. And the serpent said unto the woman, Ye shall not surely die: For God doth know that in the day ye eat thereof, then your eyes shall be opened, and ye shall be as gods, knowing good and evil. And when the woman saw that the tree was good for food, and that it was pleasant to the eyes, and a tree to be desired to make one wise, she took of the fruit thereof, and did eat, and gave also unto her husband with her; and he did eat. (Genesis 3:1-6)

Note that the original sin of the devil was that of arrogantly asserting he was going to sit in the throne of God, (Isaiah 14)  the first “occupy movement,” not by being rewarded for obedience that God commands and requires, by as if it was his right.

In contrast, those who believe in the risen Lord Jesus Christ, and trust Him to save them on His account, and then faithfully obey Him in response to” so great salvation,” will sit with Him in His throne: “To him that overcometh will I grant to sit with me in my throne, even as I also overcame, and am set down with my Father in his throne.” (Revelation 3:21) But “Verily, verily, I say unto you, He that entereth not by the door into the sheepfold, but climbeth up some other way, the same is a thief and a robber.” (John 10:1)

In contrast is the presumption that without merit, and not even by appeal to mercy and grace, one has a right to what others possess by virtue of the merit of the latter. Such is the case with the indolent and wasteful being told (in so many words) that they are victims who have a right to what others have lawfully earned (or even inherited), or that the worker has the right to the same benefits that that an owner has accrued by risking capital and in building a business. That such must be compelled to “share the wealth” by penalizing the productive by progressively burdening them with supporting a state system which effectively rewards the opposite of productivity. Or by actually forcing divestiture by state takeover of established lawful businesses.

And with the ones who promote this doing so in order to obtain power, not by actual merit, but by inculcating a victim-entitlement mentality, and spending the money of others they compelled to provide in order to support their socialist or Communist paradise which actually works poverty insofar as it is not modified by capitalist principals, and in the end, if unrestrained, it is these promoters and their tenuous friends who end up being virtually the only ones enjoying the standard of living they promised to all. Think Venezuela [2018] as a modern example.

To be sure, there are real victims of circumstance as well as prejudice, and their own regretful wrong choices, and those who have inherited benefits as well as those who earned them have a moral obligation to help such, to show mercy and give grace, and which is to be an incentive to the recipients to better their lives and thereby help others.

But in the victim-entitlement ethos, there is no mercy or grace, as instead one who refuses to be productive and actually engages in immoral behavior is told in so many words that they have a right to what others obtained by merit (versus a right to earn benefits without discrimination on account of such amoral aspects as race).

And it is also Biblical and right to take taxes from those who can pay them in order to support valid government services, from infrastructure to defense. And which in Scripture included tithe of one’s increase at the end of three years for a provision at that time for non-paid government servants, and for stranger, and the fatherless, and the widow within the border. (Deuteronomy 14:28,29) And government should enable even waste scavengers and gleaners to do what they do.

However, without further digression, the short answer to your question “How did the serpent seduce Eve to eat of the tree of the knowledge of good and evil?,” is that it was by appeal to Eve as a victim of injustice, who had a right to that which was not hers, and which victim-entitlement mentality, with its fostering of envy and lust, was inculcated in order for the devil to obtain what he selfishly wanted, power in the realm of man, the earth, which he thereby gained, (Luke 4:6) to his own just eternal damnation. (Revelation 20:10)