To solve for x, we first need to distribute the 3/4 to the terms inside the parentheses:

1/2 - 3/4 * x + 9/40 = 3/8

Next, combine the like terms on the left side of the equation:

1/2 + 9/40 - 3/4 * x = 3/8

To find a common denominator, convert 1/2 to 20/40:

20/40 + 9/40 - 3/4 * x = 3/8

Combine the terms on the left side:

29/40 - 3/4 * x = 3/8

To isolate the term with x, subtract 29/40 from both sides:

-3/4 * x = 3/8 - 29/40

-3/4 * x = 15/40

Next, multiply both sides by -4/3 to solve for x:

x = 15/40 * -4/3

x = -60/120

x = -1/2

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