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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You plug in what the variable is equal to for that variable then you will be able to finish the problem
If you don't know something in a math equation you can replace it with a variable and then solve it algebraically.
You use variable in math problems to help you solve the answer. For example, you could do 50+50=a. The (a) would be the variable. Or for that same problem you could do 50+y=100. Then the (y) would be the variable.
If there is one variable. Then put each variable equal to zero and then solve for the other variable.