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|9x - 2| = |8x - 5|
9x-2=8x-5
x=-3
|9x - 2| = |-(8x - 5)|
9x-2=-8x+5
17x=7
x=7/17
|-(9x - 2)| = |8x - 5|
-9x+2=8x-5
7=17x
7/17=x
|-(9x - 2)| = |-(8x - 5)|
-9x+2=-8x+5
-3=x
so we have two distinct answers
x=-3 and x=7/17