Solve and show all work: |2x + 3| - 6 = 11

The two solutions are {-10, 7}

Step-by-step explanation:

Add 6 to both sides to simplify this equation:

|2x + 3| - 6 + 6 = 11 + 6, or

|2x + 3|  =  17

This is an absolute value equation.  It actually has two parts:

The first is 2x + 3 = 17, which simplifies to 2x = 14.  Then x = 7.

The other one is -(2x + 3) = 17.  This simplifies to -2x - 3 = 17,

or -2x = 20.  Then x -10.

The two solutions are {-10, 7}

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step-by-step explanation: