w/4 + 4x - 1/5 = 1/8
I need help solving this

- anonymous

w/4 + 4x - 1/5 = 1/8
I need help solving this

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- anonymous

Are you solving for x?

- anonymous

I think so...Not quite sure...let me check to see if it tells me.

- anonymous

When solving a rational equation the first step that we must always take would be to make sure that you convert the equation to an equation without denominators. This is the explanation I got.

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## More answers

- anonymous

OK that makes sense, but it still doesn't tell us whether we should solve for x or w. Or are we just supposed to convert the equation and not solve anything? Any more hints in your instructions?

- anonymous

That is all I got..I get so frustrated. I guess we have to find the problems in this and address them so they know what they are

- anonymous

Shall we try solving for x then?

- anonymous

I guess...just so you know...to give a heads up..I am horrible at this stuff...I get so confused

- anonymous

No problem, I'll try my best to help you understand :)

- anonymous

Thank you so much

- anonymous

Do you have a guess as to how to start, or should I show the first step?

- anonymous

This week is a confusing week for me...just as I get the hang of things I get confused then frustrated...

- anonymous

ok so scratch that question...

- anonymous

That's ok, it happens to all of us. The first thing we need to do is find the Least Common Denominator (the LCD). Do you know how to do that

- anonymous

I have one that I did, but he wants the original rational equation of this
10 + 4(x – 2) = 5(x)
10 + 4x – 8 = 5x
4x + 2 = 5x
2 = x or x= 2

- anonymous

I thought I had did this...and that this answer was it...apparently not....lol

- anonymous

Hang on, I'm confused. Does this have anything to do with the first problem you posted or have we moved on?

- anonymous

moved on...I just asked one of the girls in my class by text and she said not to worry about the first one...fix the stuff we did wrong individually...sorry

- anonymous

OK. So he wants the original rational equation of 10+4(x-2)=5x?

- anonymous

yes

- anonymous

I thought I had done this..with all the work I did...not so much he said

- anonymous

Well, a rational equation is an equation that has fractions in it. I think he wanted you to manipulate the equation he gave to look like one. Instead, what you did was solve for x. More coming...

- anonymous

ok see now I am getting confused...

- anonymous

What I think you have to do is distribute the 4 like you did so that you get 10+4x-8=5x, then divide both sides of the equation by 40 to get a rational equation

- anonymous

Can you maybe tell me more about what you're confused about in specific?

- anonymous

most of it....I am just not a math person at all....not sure why it never clicked for me.

- anonymous

I hate the fact I have to ask for help...

- anonymous

Don't worry about it. Math is chalenging and everyone struggles with it. Plus, it's confusing when you're being tutored online

- anonymous

Back to the problem...

- anonymous

sure...I will be checking in a few at a time..I have 2 very sick little girls...sorry if I do not respond right away...
I will be back if not:)

- anonymous

So, a rational equation is an equation that has fractions in it. Like this one (just a random example): x/2+1=x/8

- anonymous

We want to make the equation you were given look something like that.

- anonymous

According to your instructions anyway

- anonymous

So here's what I would do. Take the equation 10 + 4(x – 2) = 5(x)

- anonymous

Sorry...

- anonymous

Step 1. Find the least common multiple of 10, 4, and 5. It is 20 because 20 is the smallest number that can divide evenly into 10, 4, and 5

- anonymous

No problem

- anonymous

Step 2. Divide every term in the equation by 20. It will look like this:
10/20 + 4(x – 2)/20 = 5(x)/20

- anonymous

Step 3. Simplify the fractions. It will look like this:
1/2+(x-2)/5=x/4

- anonymous

And this looks like a rational equation, so I believe this is what your teacher wants

- anonymous

Thank you so much!! I think I understand this better:) Your great!

- anonymous

You're welcome. :) So glad I could help. I'm kinda new to this online tutoring thing, so I was nervous.

- anonymous

Do you have other questions or more questions about this problem?

- anonymous

no...thank you so much:)

- anonymous

You're welcome :)

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