Step 1 :\(1.8x - 3(1.5x + 2) = 0.5(x - 4)\)
Step 2 :\(1.8x - 4.5x - 6 = 0.5x - 2\)
Step 3 :\(-2.7x - 6 = 0.5x - 2\)
Step 4 :\(-2.7x - 0.5x = 2 - 6\)
Step 5 :\(-3.2x = -4\)
Step 6 :\boxed{x = -1.25}\