Start by simplifying the question:

4 + 3x - 6 could be rewritten as 3x + 4 - 6 , or 3x - 2

3x + 2 - x could be rewritten as 3x - x + 2 , or 2x + 2

so then, 3x - 2 = 2x + 2. Subtract 2x from both sides:

3x - 2x - 2 = 2x - 2x +2, or x - 2 = 2

x = 4

4 + 3x - 6 could be rewritten as 3x + 4 - 6 , or 3x - 2

3x + 2 - x could be rewritten as 3x - x + 2 , or 2x + 2

so then, 3x - 2 = 2x + 2. Subtract 2x from both sides:

3x - 2x - 2 = 2x - 2x +2, or x - 2 = 2

x = 4