<PRE><B>Question 665532</B>
|4x-7|=5 has two solutions derived from 4x-7=5 and 4x-7=-5.  Solving the first:
4x - 7 = 5
4x - 7 + 7 = 5 + 7
4x = 12
x = 3
Solving the second:
4x - 7 = -5
4x - 7 + 7 = -5 + 7
4x = 2
x = 1/2
  
Likewise, |3-8x|=1 also has two solutions derived from 3-8x=1 and 3-8x=-1.  Solving the first:
3 - 8x = 1
3 - 8x - 3 = 1 - 3
-8x = -2
x = 1/4
Solving the second:
3 - 8x = -1
3 - 8x - 3 = -1 - 3
-8x = -4
x = 1/2
  
So x = 1/2 will make both equations true.

</PRE>