1. State the problem: Given the equation $$\frac{2x - 3}{2} = k - 1$$ and the value $$k = 5$$, find the value of $$2x$$. 2. Substitute $$k = 5$$ into the equation: $$\frac{2x - 3}{2} = 5 - 1$$ 3. Simplify the right-hand side: $$\frac{2x - 3}{2} = 4$$ 4. Multiply both sides of the equation by 2 to eliminate the denominator: $$2x - 3 = 8$$ 5. Add 3 to both sides: $$2x = 8 + 3$$ $$2x = 11$$ Final answer: $$2x = 11$$