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

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- Photon336

@tatumlee sure

- Photon336

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

- anonymous

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

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- tatumlee

And that works for most basic equations in algebra?

- Photon336

@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

- Photon336

@tatumlee if I gave you say
kind of similar to what you had before
2x+8 = 20
how would you solve it?

- tatumlee

I would add 20 to both sides?

- Photon336

@tatumlee we need to get x BY itself FIRST

- Photon336

So we would subtract 8 from both sides

- tatumlee

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

- Photon336

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

- anonymous

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

- tatumlee

so x=6?

- anonymous

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

- tatumlee

I do thank you!

- anonymous

pleasure

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