The problem was solved incorrectly. Find the error was that made and explain it. Then answer the problem correctly.

3x + 2x - 6 = 24
- 2x - 2x
x - 6 = 24
+ 6 + 6
x = 30

The error in solving the problem was when subtracting 2x from both sides of the equation. The correct operation should have been to add -2x to both sides, not subtract it.

Correctly solving the equation:

3x + 2x - 6 = 24
5x - 6 = 24
+ 6 + 6
5x = 30
/5 /5
x = 6

Therefore, x = 6 is the correct solution.