Let's solve the equation step by step:

6x - 3.2 = 5x - 1.5(4 - 3x)

First, distribute the -1.5:

6x - 3.2 = 5x - 6 + 4.5x

Combine like terms:

6x - 3.2 = 9.5x - 6

Now, isolate x on one side of the equation. Subtract 5x from both sides:

6x - 5x - 3.2 = 9.5x - 5x - 6

x - 3.2 = 4.5x - 6

Next, isolate x by adding 3.2 to both sides and subtracting 4.5x from both sides:

x - 4.5x = -6 + 3.2

-3.5x = -2.8

Finally, divide by -3.5 to solve for x:

x = -2.8 / -3.5

x = 0.8

Therefore, the solution to the equation is x = 0.8.