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.
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.