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Constant
Variables




The picture above represents the equation
              3x + 1 = 2x + 2
To solve the equation we want to remove the
            variables on the right.
                3x + 1 = 2x + 2
                        -2x
To keep the equation balanced we have to do the
               same on the left.
                 3x + 1 = 2x + 2
                 -2x      -2x
                  1x + 1 = 2
Now we want to get rid of the constant on the left
                      side.
                3x + 1 = 2x + 2
                -2x       -2x
                 1x + 1 = 2
                     -1
To keep the equation balanced we do the same on
                  the right side.
                 3x + 1 = 2x + 2
                  -2x      -2x
                   1x + 1 = 2
                      -1 -1
We have solved for x and kept our equation
                balanced.
             3x + 1 = 2x + 2
             -2x       -2x
              1x + 1 = 2
                  -1 -1
             1x      =1
5x + x = 8 + 4x

4x + 5 = 2x + 13

3x + 4 = 6x + 1

4x + 4 = 5x = 1

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Solving multistep equations with variables on both sides

  • 1. Constant Variables The picture above represents the equation 3x + 1 = 2x + 2
  • 2. To solve the equation we want to remove the variables on the right. 3x + 1 = 2x + 2 -2x
  • 3. To keep the equation balanced we have to do the same on the left. 3x + 1 = 2x + 2 -2x -2x 1x + 1 = 2
  • 4. Now we want to get rid of the constant on the left side. 3x + 1 = 2x + 2 -2x -2x 1x + 1 = 2 -1
  • 5. To keep the equation balanced we do the same on the right side. 3x + 1 = 2x + 2 -2x -2x 1x + 1 = 2 -1 -1
  • 6. We have solved for x and kept our equation balanced. 3x + 1 = 2x + 2 -2x -2x 1x + 1 = 2 -1 -1 1x =1
  • 7. 5x + x = 8 + 4x 4x + 5 = 2x + 13 3x + 4 = 6x + 1 4x + 4 = 5x = 1