Set 6: Linear Equations

Choice A is correct. Choice Ahoice D is the correct answer. 1. Start with the equation: $2x - 5 = 15$ 2. Add 5 to both sides: $2x = 15 + 5$ 3. Simplify: $2x = 20$ 4. Divide both sides by 2: $x = \frac{20}{2}$ 5. Simplify: $x = 10$ 6. Verify: $2(10) - 5 = 20 - 5 = 15$ ✓ Choice Ahoice B is incorrect because this results from subtracting 5 from 15: $10$, then $10 /2 = 5$. We must add to undo subtraction. Choice Ahoice C is incorrect because this is the value of $2x$. Don't stop early! Choice Ahoice C is incorrect because this results from multiplying 20 by 2: $40$.