equations that are identities

Algebra
Tutor: None Selected Time limit: 1 Day

I need help with solving this equation 

(2x + 1) - (5 - 3x) = 2 (3x - 2) - x?

please explain the steps on how to solve this

Sep 7th, 2015

Thank you for the opportunity to help you with your question! Hope your day is going well!

First step, you want to simplify as much as you can on the left hand side and the right hand side.

(2x+1)-(5-3x)=2(3x-2)-x   **first distribute the -1 to (5-3x) and the 2 to the (3x-2)

2x+1-5+3x=6x-4-x      **combine like terms

2x+3x+1-5=6x-x-4   **simplify

5x-4=5x-4          

Notice, the equations have the same thing on the left and the right. This is considered an identity.

If we were to continue we find

0=0 which is true!

Please let me know if you need any clarification. I'm always happy to answer your questions. Leave a positive review if you are happy! Also, I have joined another tutor site that you might want to check out. It's called homework-heroes.com!
Sep 7th, 2015

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