Absolute Value Equations
x = 3 or x = -1/3 Dividing by 3
| 4x + 7| = -3
This equation has no solution, since an absolute value cannot be negative.
| 2x - 6| = 0
Since positive and negative 0 mean the same thing, we only need one equation
2x - 6 = 0
2x = 6
x = 3
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Equations That have Absolute Value Signs on Both Sides
3x + 4 = 2x - 3 or 3x + 4 = -2x + 3 Distributing the (-)
3x = 2x - 7 or 3x = -2x - 1 Subtracting 4
x = -7 or 5x = -1 Subtracting (Adding) the 2x
x = -7 or or x = -1/5 Dividing by 5