SOLUTION: 5/4x+2=1/x I need help with this, can someone please explain it to me step by step.

Question 553721: 5/4x+2=1/x
I need help with this, can someone please explain it to me step by step.

Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
In this case, I can't tell for sure if you mean this:
or

I think it might be the latter

Since means that ,
means that

5x= 4x+2

Subtract 4x from each side:
x=2

Finally, make sure that the denominators are NOT equal to zero. They are not, so the answer is acceptable. If you want to check the answer, substitute x=2 in the original equation, and you get

It checks!!

For a NON-TRADITIONAL explanation of this topic that is probably easier to understand than your own textbook, please see my own website! The easiest way to find it is to use the easy-to-remember and easy-to-spell link www.mathinlivingcolor.com. At the very bottom of this page there is a link that will take you to the Homepage of my website. I have a complete ALGEBRA curriculum there with LOTS of practice tests, and even a few videos. Best of all, it's all FREE!!!

For this particular topic, when you find the Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time", choose "Intermediate Algebra" and look in "Chapter 2" for "Section 2.07 Literal and Fractional Equations." There is a complete explanation, together with lots of examples and exercises with ALL the answers given. You will especially like the "Math in Living Color" pages that go with this, where hundreds of the hardest exercises are solved for you IN COLOR! I even did a video on this topic before I retired. To see the video, look for "Rapalje Videos in Living Color" on my Homepage, and click on Intermediate Algebra." As I said, everything on this website is FREE! No pop-ups or advertising!!

If you or anyone needs to contact me, my Email address is rapaljer@seminolestate.edu.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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