Question

Can Someone please explain the golden rule for solving equations? and if you can please give an example? Thank You!

Answer 1

the basic idea is to follow PEMDAS in reverse so you can isolate your variable

Answer 2

i don't know all about them but a few are
1) What you are doing on one side do it on other side
eg -
x-10 = 5

x-10 + 10 = 5 + 10 [adding 10 on both the sides]

x= 15

or

10x = 100

10x/10 = 100/10

x = 10

or

x/ 10 = 10

x/10 * 10 = 10 * 10

x = 100

I hope you have understood

Answer 3

for example

say you had 2*3 + 5 = 10

normally you follow PEMDAS to evaluate the left side so it turns into the right side

but if you turn the '3' into x, then you get

2x + 5 = 10

to isolate x, you have to undo everything, which means you follow PEMDAS in reverse

Answer 4

This is how I look at it. Look at the variable you are interested in. Notice all the operations being done to it. If you had a number instead of the variable, you would do those operations in a certain order. What you do is, do the opposite operations in the opposite order in order to undo those operations and isolate the variable.
Fo example, 5x - 12 = 28
If x were a number you would
1. multiply 5 by x
2. subtract 12
Now do the opposite operation in the opposite order.
Start with 2. but in reverse: add 12
Then go on to 1 in reverse: divide by 5
Obviously, what you do to one side you must do to the other side also.
So this would be:
5x - 12 = 28
Add 12 to both sides:
5x = 40
Divide both sides by 5
x = 8

Answer 5

o_o (mind explodes) ty lol

Answer 6

The more you practice, the easier and more second nature it'll become, and then your mind will explode less.