u/Forsaken-Tonight-357

So when we solve an equation for x.

Let's say

10+x = 20 or x*5=20 or 10-x=5 or something like that

In

If I do

10 = 20-x or x = 20-10

x= 20÷5 or 5 = 20÷ x

10=5+x or -x=5-10

All of them will give the same answer

But in division

10÷x=5

10= 5*x or x=5*10

Won't give the same answer

I know it sounds rather stupid but I wanna know why exactly.

Why is that only in division , we can only work with dividend.

While in other cases we can work with either.

I went to claude and it's gaslighting me.

Google isn't helpful either.

My people of math please help.

Just as my title says, with ridiculous teachers and bad education system i ended up hating math so much that I would feel like throwing up and crying at the thought of even doing it.

One day out of pure spite I opened khan academy arithmetic and did unit 1 multiplication, for doubts and questions I went to claude, and figured out hey learning and doing math is actually quite fun. I was lied to lmao.

I tried to simplify it as much as I could because the more I overcomplicate it the more my adhd brain will say goodbye we will come back 10 years later.

So I decided to stick with khan academy.

And this order of learning on my own pace.

Arithmetic - Basic geometry - Pre algebra - algebra 1 and 2 - trigonometry - pre calculus - calculus 1 and 2 - statistics and probability - linear algebra - differential equations.

This is what I have for now.

After some research i figured out being heavily reliant on ai for deeper explanations is probably a bad idea.

A lot of people suggest textbooks are the way to go.

But with so many options I ended up in decision paralysis.

I do want to learn in a deep manner, but I don't want to get stuck in planning stage forever trying to sort out my resources or get burnt out again and start hating math.

Any help is appreciated thank you!