9514 1404 393
Answer:
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.
