Solve for x: |2x + 6| − 4 = 20 x = 9 and x = 11 x = −9 and x = 15 x = 9 and x = −15 No solution

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11-09-2015
Mathematics

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Solve for x: |2x + 6| − 4 = 20 x = 9 and x = 11 x = −9 and x = 15 x = 9 and x = −15 No solution

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Panoyin Panoyin · Answer 1 · 2015-09-11T02:06:27+02:00

|2x + 6| - 4 = 20

x = 9: |2x + 6| - 4 = 20
      |2(9) + 6| - 4 = 20
        |18 + 6| - 4 = 20
          |24| - 4 = 20
      24 - 4 = 20
       20 = 20

x = 11:    |2x + 6| - 4 = 20
   |2(11) + 6| - 4 = 20
   |22 + 6| - 4 = 20
         |28| - 4 = 20
         28 - 4 = 20
      24 ≠ 20

x = -9:    |2x - 6| - 4 = 20
   |2(-9) - 6| - 4 = 20
       |-18 - 6| - 4 = 20
      |-24| - 4 = 20
         24 - 4 = 20
      20 = 20

x = 15:    |2x - 6| - 4 = 20
   |2(15) - 6| - 4 = 20
       |30 - 6| - 4 = 20
       |24| - 4 = 20
         20 = 20

x = -15: |2x - 6| - 4 = 20
      |2(-15) - 6| - 4 = 20
      |-30 - 6| - 4 = 20
         |-24| - 4 = 20
       24 - 4 = 20
    20 = 20

The answer to x is equal to 9, 15, -9, and -15.