Final answer:
All the equations presented (a) 2x + 3 = 7, (b) 3x - 5 = 12, (c) 4x/2 = 6, and (d) 5x + 8 = 3x + 14 are correct as they all have valid solutions after simplifying or solving for x.
Step-by-step explanation:
To determine which equations are correct, we must solve or simplify each one.
- a) 2x + 3 = 7: Subtract 3 from both sides to isolate the term with x. 2x = 4. Then divide both sides by 2. x = 2. This is a valid solution.
- b) 3x - 5 = 12: Add 5 to both sides. 3x = 17. Divide by 3 to solve for x: x = 17/3. This is also a correct equation.
- c) 4x/2 = 6: Multiply both sides by 2 to clear the fraction. 4x = 12. Now, divide by 4. x = 3. Again, this is correct.
- d) 5x + 8 = 3x + 14: Subtract 3x from both sides. 2x + 8 = 14. Then, subtract 8 from both sides. 2x = 6. Divide both sides by 2. x = 3. This is correct as well.
All given equations are correct once solved.