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If 6x + 5 = 2x + 29, what is the value of x?

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Question: If 6x + 5 = 2x + 29, what is the value of x?

Options:

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

Correct Answer: 4

Solution: 

Subtract 2x from both sides: 4x + 5 = 29. Subtract 5: 4x = 24. Divide by 4: x = 6.

If 6x + 5 = 2x + 29, what is the value of x?

Practice Questions

Q1
If 6x + 5 = 2x + 29, what is the value of x?
  1. 4
  2. 5
  3. 6
  4. 7

Questions & Step-by-Step Solutions

If 6x + 5 = 2x + 29, what is the value of x?
  • Step 1: Start with the equation 6x + 5 = 2x + 29.
  • Step 2: Subtract 2x from both sides to get 6x - 2x + 5 = 29.
  • Step 3: This simplifies to 4x + 5 = 29.
  • Step 4: Now, subtract 5 from both sides to isolate the term with x.
  • Step 5: This gives you 4x = 29 - 5, which simplifies to 4x = 24.
  • Step 6: Finally, divide both sides by 4 to solve for x.
  • Step 7: This results in x = 24 / 4, 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 addition, subtraction, and division to solve for x.
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