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[tex]2x - 13 = 3x + 18 \\ \\ -13 = 3x + 18 - 2x \\ \\ -13 = x + 18 \\ \\ -13 - 18 = x \\ \\ -31 = x \\ \\ x = -31 \\ \\ Answer: \fbox {x = -31} [/tex]
2x - 13 = 3x + 18
Ok, so we have to get the variable (x) on one side and the number on the other side.

So first lets add 13 to both sides.
2x - 13 = 3x + 18
     +13         +13
-------------------------
2x = 3x + 31

Next lets subtract 3x from both sides.

 2x = 3x + 31
-3x = -3x + 31
-----------------------
-x = 31

Lastly, we need to switch the negative and positive signs.

-x = 31
x = -31

So the answer is x = -31

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