First, distribute the coefficients:

0.9x - 0.3 + 0.2 = 0.5 - 1x - 0.1

Combine like terms:

0.9x - 0.1 = -1x - 0.3

Add 1x to both sides:

1.9x - 0.1 = -0.3

Add 0.1 to both sides:

1.9x = -0.2

Divide by 1.9:

x = -0.105

So, the solution to the equation is x = -0.105.