1. **State the problem:** Determine if the equation $5(3-2x) = 5x - 2(8x-7)$ is an identity (true for all $x$) or not. 2. **Expand both sides:** Left side: $5(3-2x) = 15 - 10x$ Right side: $5x - 2(8x-7) = 5x - 16x + 14 = -11x + 14$ 3. **Rewrite the equation:** $$15 - 10x = -11x + 14$$ 4. **Bring all terms to one side:** $$15 - 10x + 11x - 14 = 0$$ $$15 - 14 + x = 0$$ $$1 + x = 0$$ 5. **Solve for $x$:** $$x = -1$$ 6. **Interpretation:** Since the equation holds true only for $x = -1$ and not for all $x$, it is **not an identity** but an equation with a single solution. **Final answer:** The equation is not an identity; it is true only when $x = -1$.