1) When solving for |x| in the equation 3|x| - 2 = 2|x| + 3, we can simplify by isolating the absolute value term:

3|x| - 2 = 2|x| + 3
|3x| - 2 = |2x| + 3

Since we have two absolute value terms being subtracted, we can rewrite the equation as:

|3x| - |2x| = 3 + 2

This simplifies to:
|x| = 5

Therefore, the solution for |x| is x = 5 or x = -5.

2) Similarly, we can solve for |x| in the equation 4|x| - 7 = -2|x| + 5:

4|x| - 7 = -2|x| + 5
|4x| - 7 = |-2x| + 5

Similar to the first equation, we have two absolute value terms, and we can rewrite the equation as:

|4x| + 2x = 7 + 5

This simplifies to:
|x| = 6

Therefore, the solution for |x| is x = 6 or x = -6.