Set 6: Linear Equations (Intermediate)

Choice B is correct. Choice C is the correct answer. 1. Start with the equation: $8x - 12 = 20$ 2. Add 12 to both sides: $8x = 20 + 12$ 3. Simplify: $8x = 32$ 4. Divide both sides by 8: $x = \frac{32}{8}$ 5. Simplify: $x = 4$ 6. Verify: $8(4) - 12 = 32 - 12 = 20$ ✓ Choice D is incorrect because this results from subtracting 12 from 20: $20- 12 = 8$, then $8 /8 = 1$. We must add to undo subtraction. Choice C is incorrect because this is the value of $8x$. Don't stop early! Choice B is incorrect because this results from multiplying 32 by 8: $32\times 8 = 256$.