Solve absolute value equation |5c-17| = |3x +11|

9514 1404 393

  x = 3/4 or 14

Step-by-step explanation:

Assuming your equation is ...

  |5x -17| = |3x +11|

it can be rewritten as two equations:

  5x -17 = -(3x +11)

  5x -17 = 3x +11

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The solution to the first of these is ...

  5x -17 = -3x -11

  8x = 6 . . . . . . . . add 3x+17

  x = 6/8 = 3/4 . . . divide by 8

The solution to the second equation is ...

  5x -17 = 3x +11

  2x = 28 . . . . . . . . add 17-3x

  x = 14 . . . . . . . . . . divide by 2

The solutions are x = 3/4 or x = 14.

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