To solve this equation, we need to isolate the variable x.

First, let's simplify the equation by finding a common denominator for the fractions. The common denominator for 5, 3, and 2 is 30.

Multiply both sides of the equation by 30 to eliminate the fractions:

30 * (3/5 . x - 2/3) = 30 * (-1/2)

Simplifying the left side of the equation:

30 * (3/5 . x - 2/3) = 30 * (-1/2)
18x - 20 = -15

Next, let's isolate the variable x by moving the constant term to the other side of the equation:

18x = -15 + 20
18x = 5

Finally, divide both sides of the equation by 18 to solve for x:

x = 5/18

Therefore, the solution to the equation is x = 5/18.