Solve and show all your work. a.|2× +3| - 6=11

  x = -10 or +7

Step-by-step explanation:

Add 6 and the equation becomes ...

  |2x+3| = 17

This is equivalent to two equations:

  2x +3 = 17

and

  2x +3 = -17

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Solving the first of these, we get

  2x = 14 . . . . subtract 3

  x = 7 . . . . . . divide by 2

Solving the second of the equations, we get

  2x = -20 . . . . subtract 3

  x = -10 . . . . . . divide by 2

The solutions are x = -10 or x = 7.