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You have to do some manipulations to the equation, until the variable remains alone on one side. The manipulations involve doing the same operation to both sides of the equation. Here is an example:
Solve "2x + 3 = 15" for x.
To get the "x" alone on one side, you have to get rid of the "2" and of the "3". Getting rid of the "3" first is simpler in this case. To get rid of the 3, you subtract 3. Note that you always have to do the same operation on both sides.
2x + 3 - 3 = 15 - 3
2x = 12
Next you get rid of the 2. This is done by dividing both sides by 2.
(2/2) x = 12/2
x = 6
This is the solution in this case.
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