First, let's simplify both sides of the equation:

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

Now, let's combine like terms:

x + x = 2 + 5/6
2x = 12/6 + 5/6
2x = 17/6

Now, divide by 2 on both sides to solve for x:

x = 17/6 ÷ 2
x = 17/6 x 1/2
x = 17/12
x = 1 5/12