Question

5x-102=13
I know this is a basic equation but I'm very rusty on algebra can someone help me with this?

Answer 1

@tatumlee sure

Answer 2

step one, we must isolate x,

we do this by adding 102, (which is the opposite of addition) to both sides.

5x-102 = 13 + 102
+102

5x = 115
5 5
divide both sides by 5

x = 23

Answer 3

5x-102=13
first, add 102 both side
5x=115

then divide both side by 5 to gt the x by itself and there is the answer

Answer 4

And that works for most basic equations in algebra?

Answer 5

@tatumlee the idea behind these equations is that you must always isolate x, and whatever operation you do to one side, you must do to the other

Answer 6

@tatumlee if I gave you say

kind of similar to what you had before

2x+8 = 20

how would you solve it?

Answer 7

I would add 20 to both sides?

Answer 8

@tatumlee we need to get x BY itself FIRST

Answer 9

So we would subtract 8 from both sides

Answer 10

How do you know what parts to add to both sides or subject or something

Answer 11

yeah that's a good question, you look at what you have in the equation

Answer 12

subtract 8 both side and you'll get
2x=12

divide both side by 2

Answer 13

so x=6?

Answer 14

when you look at the equation 2x+8=20, you want to get the 2x by itself in one side, so the only way you can do that is to subtract 8 to cancel out the 8's or make it zero.
You see that positive8 - 8=0. The rule is that if you subtract 8 one side, you MUST do the same to the other side of the equation too.

If the 8 was a negative (-8) , you would add 8 to make them zero.
hope you understand it

Answer 15

I do thank you!

Answer 16

pleasure