Set 6: Linear Equations

Choice D is correct. Choice D is the correct answer. 1. Start with the equation: $\frac{x}{4} - 2 = 5$ 2. Add 2 to both sides: $\frac{x}{4} = 5 + 2$ 3. Simplify: $\frac{x}{4} = 7$ 4. Multiply both sides by 4: $x = 7 \times 4$ 5. Simplify: $x = 28$ 6. Verify: $\frac{28}{4} - 2 = 7 - 2 = 5$ ✓ Choice A is incorrect because this results from subtracting 2 from 5: $3$, then multiplying by 4: $12$. Wrong inverse operation. Choice B is incorrect because this is the value of $\frac{x}{4}$. You must multiply by 4. Choice C is incorrect because this results from dividing 7 by 4: 1.$75$. We need to multiply.