To solve this equation, we can start by simplifying the expression on the left side:

3/5(x - 2/3) - 20%(x - 3.2) = -5

First, let's simplify the fractions:

(3/5)(x) - (3/5)(2/3) - 0.2(x - 3.2) = -5

Now, let's distribute the 0.2:

(3/5)(x) - (3/5)(2/3) - 0.2x + 0.2(3.2) = -5

Simplifying further:

(3/5)x - (6/15) - 0.2x + 0.64 = -5

Combining like terms:

(3/5)x - 0.2x - (6/15) + 0.64 = -5

(3/5 - 0.2)x - (6/15) + 0.64 = -5

(1/5)x - (6/15) + 0.64 = -5

Now, let's simplify the fractions:

(1/5)x - (2/5) + 0.64 = -5

Combining like terms:

(1/5)x - (2/5) + 0.64 = -5

(1/5)x - (2/5) = -5 - 0.64

(1/5)x - (2/5) = -5.64

To get rid of the fractions, we can multiply both sides of the equation by 5:

5[(1/5)x - (2/5)] = 5(-5.64)

x - 2 = -28.2

Now, let's isolate x by adding 2 to both sides:

x - 2 + 2 = -28.2 + 2

x = -26.2

Therefore, the solution to the equation is x = -26.2.