how do you solve a linear equation with fractions

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i need help with solving this equation: 2/3x - 1/5= 1/2x + 5/6

The book gives me a different a different answer than what I got the book says is 31/5 but I get 13/4 and i multiplied one side by 15 and the other by 12

Sep 7th, 2015

Thank you for the opportunity to help you with your question!

2/3x-1/5=1/2x+5/6

collect like terms together;

2/3x-1/2x=5/6+1/5

1/6x=31/30

1/6x*6=31/30*6

X=31/5

The answer given in the book is right

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 7th, 2015

thanks that helped but how did you get 

1/6x=31/30 

1/6x*6=31/30*6 


Sep 7th, 2015

I multiplied both side by 6 so that I remain with X on one side

Sep 7th, 2015

okay I see thank you!! 

Sep 7th, 2015

In case you have other questions I will be willing to help

Sep 7th, 2015

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