What you are doing when solving for a variable such as x is isolating x to get a 'x = something' to tell you what x is.
That is done by combining the x's from both sides of the equation to get it onto one side. Then the numbers that are with x are canceled out by doing the same thing to both sides of the equation. That way, the new equation would mean the same thing as the old one.
5x + 1 = 2x -3
Here, I would combine the x's by subtracting 2x from both sides.
3x + 1 = -3
Now the x is on only one side, now I will do stuff to get x to be alone
3x = -4
I have subtracted one from both sides
x = -4/3
I have divided both sides by three, now x is alone and equals negative four third.
That is done by combining the x's from both sides of the equation to get it onto one side. Then the numbers that are with x are canceled out by doing the same thing to both sides of the equation. That way, the new equation would mean the same thing as the old one.
5x + 1 = 2x -3
Here, I would combine the x's by subtracting 2x from both sides.
3x + 1 = -3
Now the x is on only one side, now I will do stuff to get x to be alone
3x = -4
I have subtracted one from both sides
x = -4/3
I have divided both sides by three, now x is alone and equals negative four third.