SOLUTION: 10/3x-8=2/x Can someone explain this to me step my step, so I can understand it better.

Question 553722: 10/3x-8=2/x
Can someone explain this to me step my step, so I can understand it better.
Found 2 solutions by rapaljer, stanbon:
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!

Since means that , you can write

Subtract 6x from each side:

Divide both sides by 4:

One more step! Make sure the denominators are NOT equal to zero. By inspection, they are not, so the answer is correct.

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
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
10/3x-8=2/x
----
I'm going to assume the 3x and the x are each in a denominator:
(10/3x) - 8 = (2/x)
----
Multiply thru by 3x to get:
10 - 24x = 6
---
Subtract 6 from both sides:
Add 24x to both sides:
----
24x = 4
Divide by 24
x = 1/6
==============
Cheers,
Stan H.
RELATED QUESTIONS
Can someone explain how this problem works (if possible step by step so that i can... (answered by jim_thompson5910)
Can someone explain this to me and show step by step so I can have a better understand of (answered by jim_thompson5910)
hi can you help me understand how multiplying fractions by LCM simplifies this linear... (answered by Fombitz,MathTherapy)
5/4x+2=1/x I need help with this, can someone please explain it to me step by step. (answered by rapaljer)
Ooops I made a mistake the problem shows {{{32^x}}}={{{1/8}}} then x= I don't even... (answered by Earlsdon)
can you please explain this to me step by step so i can understand it. log(3-2x) - log (answered by jim_thompson5910,MaxLiebling)
i am looking to get to problems for my Algebraic connections class and i am a sub so i... (answered by Alan3354)
Good Afternoon, HELP ME PLEASE. Find the quotient using the long Division method.... (answered by Boreal,MathTherapy)
Can someone please help me with this homework question and explain step by step how it... (answered by Fombitz)