To solve this equation, first combine like terms on the left side of the equation:

3/8x + 7/12x - 5/6x = 2/32

Convert the fractions to have a common denominator of 24:

9/24x + 14/24x - 20/24x = 1/16

Combine the terms:

3/24x = 1/16

Simplify the equation:

1/8x = 1/16

Multiply both sides of the equation by 8 to solve for x:

x = 1/2

Therefore, the solution to the equation is x = 1/2.