If 4x + 3 = 7x - 9 then x =

If 4x + 3 = 7x - 9 then x =

• A. 3
• B. 4
• C. 5
• D. 2

Answer: (B)

To isolate x, treat the equation like a balance and perform the same operation on both sides. Subtract 4x from both sides to move the x-term to one side: 3 = 3x - 9. Then add 9 to both sides to collect constants: 12 = 3x. Divide both sides by 3 to solve for x: x = 4. Check quickly: plug in x = 4. Left side: 4(4) + 3 = 19. Right side: 7(4) - 9 = 28 - 9 = 19. Both sides match, so x = 4 is correct.

To isolate x, treat the equation like a balance and perform the same operation on both sides. Subtract 4x from both sides to move the x-term to one side: 3 = 3x - 9. Then add 9 to both sides to collect constants: 12 = 3x. Divide both sides by 3 to solve for x: x = 4.

Check quickly: plug in x = 4. Left side: 4(4) + 3 = 19. Right side: 7(4) - 9 = 28 - 9 = 19. Both sides match, so x = 4 is correct.