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I'm giving the equation Solve for x:  Note that 3/4 and x are rigth next to each other like this 3/4x I had some trouble with the latex this time... 

 

 

x = __________________ Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar.

Answer blank 1: Thank you so much for all the time spent to help me and to understand this concept better.

 Jun 16, 2019
edited by HiylinLink  Jun 16, 2019
 #1
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Solve for x:
(3 x)/4 + 5/8 = 4 x

Put each term in (3 x)/4 + 5/8 over the common denominator 8: (3 x)/4 + 5/8 = (6 x)/8 + 5/8:
(6 x)/8 + 5/8 = 4 x

(6 x)/8 + 5/8 = (6 x + 5)/8:
(6 x + 5)/8 = 4 x

Multiply both sides by 8: or: cross multiply
6 x + 5 = 32 x

6x - 32x = -5

- 26x = - 5                      multiply both sides by -1

x =5 / 26

 Jun 16, 2019
edited by Guest  Jun 16, 2019
 #2
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Thank you for the effort  and how you presented it but I'm having trouble understanding how you went from 3x to 6x....

Guest Jun 16, 2019
 #5
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he/she multiplied the whole fraction by 2... does that help?

NoobGuest  Jun 17, 2019
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It appears there are four "zero-width space" characters in your LaTeX code. Two of them are between the  3/4  and the  x  which is why it doesn't look normal. I found that out by pasting your code into this website: https://www.soscisurvey.de/tools/view-chars.php

 

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As for your actual question, this is pretty much the method guest used:

 

                                And    so we can rewrite it like this...

                                To get a common denominator, we can multiply    by    which won't change its value.

                                And      ←That's how it went from  3x  to  6x

                                Now that the fractions have a common denominator we can combine them.

                                Multiply both sides of the equation by  8

                                Subtract  6x  from both sides.

 

                                Divide both sides by  26

 

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Also, we could multiply both sides of the equation by  8  to begin with, like this:

 

_

 Jun 16, 2019
 #4
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Wow, thanks soo much that really explains alot of questions...

HiylinLink  Jun 16, 2019
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 Jun 22, 2019
 #7
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THANKS MAX! (I don't know if I was premitted first name basis) XD

HiylinLink  Jun 23, 2019

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