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If 4x + 1 = 2x + 9, what is x?

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Question: If 4x + 1 = 2x + 9, what is x?

Options:

  1. x = 2
  2. x = 3
  3. x = 4
  4. x = 5

Correct Answer: x = 3

Solution:

Step 1: Subtract 2x from both sides: 2x + 1 = 9. Step 2: Subtract 1 from both sides: 2x = 8. Step 3: Divide by 2: x = 4.

If 4x + 1 = 2x + 9, what is x?

Practice Questions

Q1
If 4x + 1 = 2x + 9, what is x?
  1. x = 2
  2. x = 3
  3. x = 4
  4. x = 5

Questions & Step-by-Step Solutions

If 4x + 1 = 2x + 9, what is x?
  • Step 1: Start with the equation 4x + 1 = 2x + 9.
  • Step 2: Subtract 2x from both sides to get 4x - 2x + 1 = 9.
  • Step 3: This simplifies to 2x + 1 = 9.
  • Step 4: Now, subtract 1 from both sides to isolate the term with x: 2x = 9 - 1.
  • Step 5: This simplifies to 2x = 8.
  • Step 6: Finally, divide both sides by 2 to solve for x: x = 8 / 2.
  • Step 7: This gives us x = 4.
  • Linear Equations – The question tests the ability to solve a linear equation by isolating the variable.
  • Algebraic Manipulation – It assesses skills in performing operations such as addition, subtraction, and division to solve for x.
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