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3x-5=2x+8 solve for x

 Jul 29, 2014

Best Answer 

 #1
avatar+3454 
+8

So we are looking to get x = something. The key thing to remember here is that whatever you do to one side of the equation, you have to do the same thing to the other side.

So if I want to subtract 2 from one side, I can do that but I have to subtract 2 from the other side too.

3x-5=2x+8            ---Let's subtract 2x from both sides. We can do this because we are doing it to both sides

-2x    -2x

--------------

x-5=8                 ---Now let's add 5 to both sides

x = 13

 

And there we go!

 

To check this, we can put 13 in where there's an x in the original equation. If we did it right, we'll get a true statement, like 3=3, or 6=6.

3x-5=2x+8          ---Put 13 in for x

3(13)-5=2(13)+8

39-5=26+8

34=34

 

This is a true statement, so we solved it correctly.

 Jul 29, 2014
 #1
avatar+3454 
+8
Best Answer

So we are looking to get x = something. The key thing to remember here is that whatever you do to one side of the equation, you have to do the same thing to the other side.

So if I want to subtract 2 from one side, I can do that but I have to subtract 2 from the other side too.

3x-5=2x+8            ---Let's subtract 2x from both sides. We can do this because we are doing it to both sides

-2x    -2x

--------------

x-5=8                 ---Now let's add 5 to both sides

x = 13

 

And there we go!

 

To check this, we can put 13 in where there's an x in the original equation. If we did it right, we'll get a true statement, like 3=3, or 6=6.

3x-5=2x+8          ---Put 13 in for x

3(13)-5=2(13)+8

39-5=26+8

34=34

 

This is a true statement, so we solved it correctly.

NinjaDevo Jul 29, 2014

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