Solving an Absolute Value Equation

What is the solution for this equation?
               |2x - 3| = 5

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Absolute value means the distance away from zero.  Since (2x - 3) is 5 away from zero, then the value of (2x - 3) could be 5 or -5.

|2x - 3| = 5
2x - 3 = 5   or   2x - 3 = -5   {set (2x - 3) equal to 5 and -5}
2x = 8   or   2x = -2   {added 3 to each side of both equations}
x = 4   or   x = -1   {divided each side of both equations by 2}

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