1. **State the problem:** We are given a model representing the equation $$2x + 3 = 3(-x) + 8$$ and need to find the value of $x$. 2. **Write the equation:** From the model, the equation is: $$2x + 3 = 3(-x) + 8$$ 3. **Simplify the right side:** $$3(-x) = -3x$$ So the equation becomes: $$2x + 3 = -3x + 8$$ 4. **Add $3x$ to both sides to get all $x$ terms on one side:** $$2x + 3x + 3 = -3x + 3x + 8$$ $$5x + 3 = 8$$ 5. **Subtract 3 from both sides:** $$5x + \cancel{3} - \cancel{3} = 8 - 3$$ $$5x = 5$$ 6. **Divide both sides by 5 to solve for $x$:** $$\frac{5x}{\cancel{5}} = \frac{5}{\cancel{5}}$$ $$x = 1$$ 7. **Conclusion:** The value of $x$ is 1. **Note:** The given answer choices do not include 1, so the model or options might have an error. Based on the equation, $x=1$ is correct. **Final answer:** $x = 1$