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

Master the NLN PAX Mathematics 1 Exam with our comprehensive study guide and quizzes. Test your knowledge with multiple choice questions tailored for the PAX Math exam, featuring detailed explanations and tips to enhance your preparation and increase your chances of success.

Multiple Choice

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

Explanation:
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.

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