12x-{4[3-2(x+7)+3x]}-1=6(x-2)

Solution:
1. Simplify the expression inside the brackets:
3 - 2(x + 7) + 3x = 3 - 2x - 14 + 3x = 3 - 14 + x = -11 + x

2. Substitute back into the equation:
12x - 4(-11 + x) - 1 = 6(x - 2)

3. Distribute the -4:
12x + 44 - 4x - 1 = 6x - 12

4. Combine like terms:
8x + 43 = 6x - 12

5. Move the 6x to the left side:
8x - 6x + 43 = -12

6. Simplify:
2x + 43 = -12

7. Subtract 43 from both sides:
2x = -55

8. Divide by 2:
x = -\frac{55}{2}