Pride can negatively impact one person or many people's lives. In "Arachne," Athené and Arachne peobably learned this because in most of the story, pride controlled them, which results in all this negativity in Athené and Arachne, as you can see below, where Athené transforms Arachne into an arachnid, and both people finally learn their consequences.
That's what you deserved!
Oh no! My pride has hurt my reputation!
I am so excellent at this, no one can ever win a competition against me.
"In all Lydia there was no one who could weave as well as the beautiful Arachne. To watch her brush the wool of the white-fleeced sheep until in her fingers it grew like the soft clouds that hang round the hill tops, was pleasure enough to draw a crowd from all over"
In "Arachne," Arachne is weaving on a loom, and since it states that no one in Lydia was as good as Arachne in weaving, she is probably feeling prideful because after all, who else could be better, but in reality, the result could be even worse.
Athené comes with a disguise, and sees Arachne. Then, she tells about the warnings of weaving better than her, but Arachne, obviously proud of herself, ignores that and tells Athené that she could compete with her, and Athené gets furious and she cast off her disguise, but the troubles have yet to come.
"I don't fear Athené."
As time passes, Athené isn't as appreciative of her weaving skills because Arachne is an awesome weaver and gods never like to be compared with someone else about how good they are in one subject, so Athené is clearly annoyed by this, so she tries to use a simple trick by disguising herself as an old woman, but this decision wasn't the smartest one made.
"Be careful what you say child, there may indeed be punishment with time."
Athené shows her real identity, but Arachne doesn't care and still challenges her to a contest. She seems prideful because in the passage, it states that she didn't care if she receives consequences, as in the line "... and you win, I will gladly pay the price." This shows how persistent and proud Arachne is, even when she faces a debacle.
"I have spoken truth. Not woman, nor goddess, can weave like me. I am ready to abide by what I have said, and if I did boast, by my boast I stand. If you will agree, great goddess, to try your skill against mine and you win, I will gladly pay the price."
"Athené is here."
The challenge starts, and Athené and Arachne are set to work. Athené makes some unimaginable work, but even though Arachne is impressed, she speeds to work. At the end, Athené finds out that Arachne is insulting the gods, and she gets enraged, and when a storm comes, Arachne's work gets destroyed. After this, Athené is disappointed in Arachne. This is when the worst parts of the story happen (if you are Arachne).
Arachne eventually "loses" the competition, and she is ashamed of herself and says that life is no longer worth living for. She also realizes that any competition with a god will easily be lost. At the end, Arachne is transformed into a spider, where she and her descendamts will weave for the rest of their lives.
"Oh guilty and shameless Arachne! For evermore you and your descendants will live and weave as you did today so that men will never forget the punishment of those dare to rival a god."