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Solving Equations
               Involving Fractions



Solvin g Equations By Adding Like Terms
Example 1:
3/4x - 2 = -14

4(3/4x) -4(2) = 4(-14)

3x - 8 = -56

3x -8 +8 = -56 + 8

3x = -48

3x/3 = -48/3

x = -16
Example 2:
          (you try this one)
          (you try this one)
2/3x + 4 = 14

3(2/3x) + 3(4) = 3(14)

2x + 12 = 42

2x + 12 - 12 = 42 - 12

2x = 30

2x/2 = 30/2

x = 15
Example 3:
3/4x - 3 = 1/2

4(3/4x) - 4(3) = 4(1/2)

3x - 12 = 2

3x - 12 + 12 = 2 + 12

3x = 14

3x/3 = 14/3

x = 14/3
Example 4:
2x - 5 + 3x = 15

2x + 3x - 5 = 15

5x - 5 = 15

5x - 5 + 5 = 15 + 5

5x = 20

5x/5 = 20/5

x=4
Example 5:
            (you try this one)
            (you try this one)
4x + 7 - 9x = 28

4x - 9x + 7 = 28

-5x + 7 = 28

-5x + 7 - 7 = 28 - 7

-5x = 21

-5x/-5 = 21/-5

x = -21/5

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Solving equations with fractions2

  • 1. Solving Equations Involving Fractions Solvin g Equations By Adding Like Terms
  • 2. Example 1: 3/4x - 2 = -14 4(3/4x) -4(2) = 4(-14) 3x - 8 = -56 3x -8 +8 = -56 + 8 3x = -48 3x/3 = -48/3 x = -16
  • 3. Example 2: (you try this one) (you try this one) 2/3x + 4 = 14 3(2/3x) + 3(4) = 3(14) 2x + 12 = 42 2x + 12 - 12 = 42 - 12 2x = 30 2x/2 = 30/2 x = 15
  • 4. Example 3: 3/4x - 3 = 1/2 4(3/4x) - 4(3) = 4(1/2) 3x - 12 = 2 3x - 12 + 12 = 2 + 12 3x = 14 3x/3 = 14/3 x = 14/3
  • 5. Example 4: 2x - 5 + 3x = 15 2x + 3x - 5 = 15 5x - 5 = 15 5x - 5 + 5 = 15 + 5 5x = 20 5x/5 = 20/5 x=4
  • 6. Example 5: (you try this one) (you try this one) 4x + 7 - 9x = 28 4x - 9x + 7 = 28 -5x + 7 = 28 -5x + 7 - 7 = 28 - 7 -5x = 21 -5x/-5 = 21/-5 x = -21/5