#### Answer

x = 1.5

#### Work Step by Step

Our goal is to isolate x. To accomplish this we will first distribute:
0.2(x + 3)-4(2x - 3) = 0.9
0.2x + 0.6 - 8x + 12 = 0.9
We will then combine like terms:
0.2x + 0.6 - 8x + 12 = 0.9
-7.8x + 12.6 = 0.9
Next, we'll subtract 12.6 from both sides and then divide both sides by -7.8:
-7.8x + 12.6 = 0.9
-7.8x = -11.7
x = -11.7 / -7.8
x = 1.5