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Lesson 2.4
Solving for a Variable
Main Goal:

We want to move the variables all to one side and
the constants all to the other.

Ex:
We would like to turn something like

3x+4=13   into    x=3
How do we do this?
 We want to keep our equation balanced at all times
 In other words, we want to make sure we do the same
  operation on both sides of the equation:
 Ex:

                x    3     5
                     3     3

                      x   2
Example
      5x   7    23
            7    7
           5x   30
            5    5
            x   6

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Solving Equations-12.4

  • 2. Solving for a Variable Main Goal: We want to move the variables all to one side and the constants all to the other. Ex: We would like to turn something like 3x+4=13 into x=3
  • 3. How do we do this?  We want to keep our equation balanced at all times  In other words, we want to make sure we do the same operation on both sides of the equation:  Ex: x 3 5 3 3 x 2
  • 4. Example 5x 7 23 7 7 5x 30 5 5 x 6