Set 13: Linear Equations

Choice A is correct. Choice D is the correct answer. 1. Start with the equation: $4x + 12 = 32$ 2. Subtract 12 from both sides: $4x = 32 - 12$ 3. Simplify: $4x = 20$ 4. Divide both sides by 4: $x = \frac{20}{4}$ 5. Simplify: $x = 5$ 6. Verify: $4(5) + 12 = 20 + 12 = 32$ ✓ Choice D is incorrect because this results from adding 12 to 32: $44$, then $44 /4 = 11$. Wrong inverse operation. Choice B is incorrect because this is the value of $4x$. You need to divide by 4. Choice C is incorrect because this results from multiplying 20 by 4: $80$.