1. **State the problem:** We need to find the value of $2x + 5$ given the equation $$3(2x + 5) = 6(2x + 5) - 12.$$ 2. **Write down the equation:** $$3(2x + 5) = 6(2x + 5) - 12.$$ 3. **Expand both sides:** $$3 \times (2x + 5) = 6 \times (2x + 5) - 12$$ $$6x + 15 = 12x + 30 - 12$$ $$6x + 15 = 12x + 18$$ 4. **Isolate terms involving $x$ on one side:** Subtract $6x$ from both sides: $$15 = 6x + 18$$ 5. **Isolate the constant terms:** Subtract 18 from both sides: $$15 - 18 = 6x$$ $$-3 = 6x$$ 6. **Solve for $x$:** Divide both sides by 6: $$x = \frac{-3}{6} = -\frac{1}{2}.$$ 7. **Find $2x + 5$:** Substitute $x = -\frac{1}{2}$: $$2 \times \left(-\frac{1}{2}\right) + 5 = -1 + 5 = 4.$$ **Final answer:** $4$