To solve this equation, we need to combine like terms and simplify:

4x - 1/2 - 5 - x/3 - 3x - 8/6 = 1

Combine like terms:

4x - 1/2 - x/3 - 3x - 8/6 = 1 + 5

Simplify the fractions:

4x - x/3 - 3x - 4/3 = 6

Multiply all terms by 3 to get rid of the fraction:

12x - x - 9x - 4 = 18

Combine like terms:

2x - 4 = 18

Add 4 to both sides:

2x = 22

Divide by 2:

x = 11

Therefore, the solution to the equation is x = 11.