|7x+2| = 23

This breaks into two equations because
the expression inside the | | can be
positive "23" or negative "-23"

7x+2 = 23   and   7x+2 = -23
  7x = 21           7x = -25
   x = 3             x = 

It has two solutions 3 and  

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|5-2x| = 9

This breaks into two equations

5-2x = 9   and   5-2x = -9
 -2x = 4          -2x = -14
   x = -2           x = 7

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3|2x-2| = 18

Isolate the absolute value term by dividing
both sides by 3

 |2x-2| = 6

This breaks into two equations

2x-2 = 6   and   2x-2 = -6
  2x = 8           2x = -4
   x = 4            x = -2

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 4|5x-1| = 36

Do this one the same way
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Edwin