Vs. 1  
The serpent was more SUBTLE
Passive participle of H6191; cunning (usually in a bad sense): - crafty, prudent, subtil.
And he said to the woman "Yea, hath God said, Ye shall not eat of every tree of the garden?"
A quick point or two;
 (1.) the serpent went to the Eve not Adam, God had told the Adam himself what the rules were, He may have told Eve as well but more than likely the she got it second hand from Adam.
 (2.)   the serpent took a simple instruction (don't eat from the tree of good and evil) and extended it to an extreme  in the form of a question (did God forbid the fruit of ALL trees). In doing this satan accuses God and tests Eve's knowledge of what God had said.
Vs. 2 and 3
Eve's reply shows that either she got a bad interpretation or added her own interpretation, she adds  ", neither shall ye touch it,"  to what God had originally said.
Just speculation on my part but I can imagine the snake climbing the tree (if he wasn't already in it) and wrapping himself around the forbidden fruit to raise doubt in Eve's mind about what she believed God had said. If the serpent didn't die for touching the fruit then maybe God wasn't being entirely truthful. And then the serpent says;
Vs. 4 and 5
"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."
Vs. 6
" 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"
1Jo 2:16  For all that is in the world, the lust of the flesh, and the lust of the eyes, and the
pride of life, is not of the Father, but is of the world."
she took of the fruit thereof, and did eat, and gave also unto her husband with her; and he
did eat.
Seemingly Adam was right there and said nothing but instead went along.

Let me express my understanding of what changed in God's creation at this point.
God had created the earth and everything on it therefore all was His to do with as He pleased. As we saw in the first chapter God gave mankind the dominion over all He had made on Earth. As long as man was under God, everything under man was also under God however when man disobeyed God and obeyed satan, man placed himself under satan and in doing so he also placed everything under himself under the rule of satan. This is why satan is now called the god of this world

2Co 4:4  In whom the god of this world hath blinded the minds of them which believe not,

and that is why Jesus had to come to redeem not only man but also everything under man.

Rom 8:19  For the earnest expectation of the creature waiteth for the manifestation of
the sons of God. Rom 8:20  For the creature was made subject to vanity, not willingly,
but by reason of him who hath subjected the same in hope, Rom 8:21  Because the
creature itself also shall be delivered from the bondage of corruption into the glorious
liberty of the children of God. Rom 8:22  For we know that the whole creation groaneth
and travaileth in pain together until now.

The whole creation is suffering because of sin. God had given the dominion of His
creation to man and never took it back, He couldn't and remain true to what He is which
was a problem for Him but is also good news to us, have you ever seen this verse;

Rom 11:29  For the gifts and calling of God are without repentance.

Meaning that God doesn't change His mind due to circumstances, He changes
circumstances till they agree with what is in His mind. And He doesn't give up on His
creation or on you either.

So now God has a problem and He also has a solution but it would be costly.

Vs. 7
Their eyes being opened they tried to cover their nakedness but not in a way that was acceptable to God as we will see.
Most religion in the earth is pictured here, having an understanding that there is something greater than us, that we are naked before Him, and attempting to cover our nakedness before Him. Remember that in the beginning ALL the people knew there was a God, God even talked to some of them before the flood and after the flood for hundreds of years, as many false religions were formed, there were eye witnesses to the Flood and the reality of God. This in my mind explains why there is religion in every people group that I know of, from China to South America, from the Intuits (Eskimos) to the tribes of Africa. People knew there was a God and were attempting to reach out to Him but their intentions being perverted by satan.
Vs. 8
When they hear God they hide, anyone here ever done that when you've been disobedient? Yep me to, better to call to God and ask for forgiveness before He has to come looking for you.
Vs. 9 -11
Adam is caught and has to fess up.
Vs.  12 and 13
The pair begin the blame game, Wrong way to confess, I have wondered what would have happened if they had sought out God and been truthful in confessing, I see how it works now and I think it would have then, though even now it sometimes doesn't negate the consequences of our sin when we confess it but always brings forgiveness.
At this point put yourself in God's shoes, think about it, it only took 6 days to create everything that was, He knew it would take thousands of years to correct the damage that had been done and require that Jesus be crucified. He could have wiped it all out, started over and created everything new at this point. That's how much He loves us.

Vs. 14
God goes first to the serpent, where the problem began and curses him and all of his offspring,
God begins to paint His masterpiece of redemption.
"And I will put enmity between thee and the woman, and between thy seed and her seed; it shall bruise thy head, and thou shalt bruise his heel."
Jesus was woman's seed and God's seed there was no man's seed involved in Jesus being born yet He is a son of mankind making Him eligible to redeem what man had given away.
Vs. 16
Now God turns to the woman and punishes her and all that would come after her for her transgressions. Notice He also says for the first time; " and thy desire shall be to thy husband, and he shall rule over thee." This was not God's original plan but a consequence of sin.
Vs. 17-19
God turns to Adam and says;
", Because thou hast hearkened unto the voice of thy wife, and hast eaten of the tree, of which I commanded thee, saying, Thou shalt not eat of it: cursed is the ground for thy sake; in sorrow shalt thou eat of it all the days of thy life; Thorns also and thistles shall it bring forth to thee; and thou shalt eat the herb of the field; In the sweat of thy face shalt thou eat bread, till thou return unto the ground; for out of it wast thou taken: for dust thou art, and unto dust shalt thou return."

What was once easy for man was now to be dreaded and hard but notice that God does not curse either the man or the woman, "He said cursed is the GROUND for thy sake" to the man and mentions no curse at all to the woman. To be truthful I had never noticed that till this study. That is a benefit of teaching what you know, you seem to always get when you give.  

Vs. 20
Adam names Eve.
Vs. 21
God give them skins from animals to wear, This is the first recording of anything dying and a preview of what it would take to redeem the creation and cover mans nakedness.
Vs. 22- 24
God send them to the east out of the garden because God knows that were fallen man to live forever it would not be good for man or for creation so he puts an angel to guard the tree of life and prevent man from eating it before it was time for him to. There would need to be a process that would have to run its course to the end before man was again given access to the tree of life and we are in and part of that process.