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Let's go ahead and start by getting all the x values on one side. So you would subtract 2x from both sides and you would end up with 5x+6=41.

 

Now we should get the x alone. To do this, we will reverse PEMDAS and start wih getting rid of the addition. To get rid of the addition, you would subtract 6 from both sides. You now should end up with 5x=35.

 

Then we will get rid of the multiplication by dividing. To get rid of 5x, you would divide by 5, and remember, if you do something to one side, you have to do it to the other side. After dividing 5 from both sides, you should end up with x=7.

 

So the answer is x=7.

 

To check your answer, substitute x with 7. 

7x + 6 = 2x + 41

7x + 6 - 2x = 41

5x = 41 - 6

5x = 35

x = 7

Thanks rarinstraw 

That's an excellent answer :)

 

Yours is a very good answer too guest :)