To solve this equation, we first need to simplify the right side of the equation:

1.4 - 12/5 = 1.4 - 2.4 = -1

Now, we can substitute this value back into the equation:

2/3 * x = -1

To solve for x, we can multiply both sides by the reciprocal of 2/3, which is 3/2:

x = -1 * 3/2
x = -3/2

Therefore, the solution to the equation 2/3 * x = 1.4 - 12/5 is x = -3/2.