Algebra 2 review, multi-step equation

label Algebra
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3/5x=2/3x+1        no decimal answers.. So I know you want both xs on one side, but how would I subtract 2/3 from 3/5, a common denominator? I tried 15 and realized I've completely forgotten how to do this whole problem :/

Aug 27th, 2015

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

3/5x=2/3x +1

Move 2/3x to the other side of the equal sign and its sign changes to negative

3/5x-2/3x=1


Multiply through by the least common multiple to remove the denominator

The LCM is 15

15(3/5x) +15(-2/3x)=15(1)

9x-10x=15

-x=15

x=15/-1

x=-15

Please let me know if you need any clarification. I'm always happy to answer your questions.
Aug 27th, 2015

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