3(1.9x - 2.4) = 5(0.42x - 0.96)

Expanding the terms:

5.7x - 7.2 = 2.1x - 4.8

Now, let's simplify it:

5.7x - 2.1x = -4.8 + 7.2
3.6x = 2.4

Dividing by 3.6 on both sides:

x = 2.4 / 3.6
x = 0.6667 or approximately 0.67

Therefore, the solution to the equation is x = 0.67.