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

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

Options:

  1. 3
  2. 4
  3. 5
  4. 6

Correct Answer: 3

Solution: 

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

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

Practice Questions

Q1
If 4x + 1 = 2x + 9, what is the value of x?
  1. 3
  2. 4
  3. 5
  4. 6

Questions & Step-by-Step Solutions

If 4x + 1 = 2x + 9, what is the value of 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 algebraic operations such as addition, subtraction, and division.
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