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If 4x + 5 = 2x + 17, what is the value of x?

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Question: If 4x + 5 = 2x + 17, what is the value of x?

Options:

  1. 5
  2. 6
  3. 7
  4. 8

Correct Answer: 6

Solution: 

Subtract 2x from both sides: 2x + 5 = 17. Then subtract 5: 2x = 12. Finally, divide by 2: x = 6.

If 4x + 5 = 2x + 17, what is the value of x?

Practice Questions

Q1
If 4x + 5 = 2x + 17, what is the value of x?
  1. 5
  2. 6
  3. 7
  4. 8

Questions & Step-by-Step Solutions

If 4x + 5 = 2x + 17, what is the value of x?
  • Step 1: Start with the equation 4x + 5 = 2x + 17.
  • Step 2: Subtract 2x from both sides to get 4x - 2x + 5 = 17.
  • Step 3: This simplifies to 2x + 5 = 17.
  • Step 4: Now, subtract 5 from both sides to isolate the term with x.
  • Step 5: This gives you 2x = 17 - 5, which simplifies to 2x = 12.
  • Step 6: Finally, divide both sides by 2 to solve for x.
  • Step 7: This results in x = 12 / 2, which simplifies to x = 6.
  • 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 subtraction and division to simplify equations.
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