1. **State the problem:** Solve the equation $$2x - (-0.3) = 1.9$$. 2. **Rewrite the equation:** Subtracting a negative is the same as adding a positive, so rewrite as: $$2x + 0.3 = 1.9$$ 3. **Isolate the term with $x$:** Subtract $0.3$ from both sides: $$2x + 0.3 - 0.3 = 1.9 - 0.3$$ $$2x = 1.6$$ 4. **Divide both sides by 2 to solve for $x$:** $$x = \frac{2x}{2} = \frac{1.6}{2}$$ Show the cancellation: $$x = \frac{\cancel{2}x}{\cancel{2}} = \frac{1.6}{2}$$ 5. **Calculate the division:** $$x = 0.8$$ **Final answer:** $x = 0.8$