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We have two cases to consider.

If 3x-7>0, then 3x-7=2.

3x=9

x=3. This fits into our original requirement so this is our first solution.

If 3x-7<0, then 3x-7=-2

3x=5

x=5/3. This is also valid for our original inequality, so this is our second solution.

Putting it together, x=3, 5/3