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If 6x - 3 = 3x + 12, what is the value of x?

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Question: If 6x - 3 = 3x + 12, what is the value of x?

Options:

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

Correct Answer: 4

Solution: 

Subtract 3x from both sides: 3x - 3 = 12. Add 3: 3x = 15. Divide by 3: x = 5.

If 6x - 3 = 3x + 12, what is the value of x?

Practice Questions

Q1
If 6x - 3 = 3x + 12, what is the value of x?
  1. 3
  2. 4
  3. 5
  4. 6

Questions & Step-by-Step Solutions

If 6x - 3 = 3x + 12, what is the value of x?
  • Step 1: Start with the equation 6x - 3 = 3x + 12.
  • Step 2: Subtract 3x from both sides to get 6x - 3x - 3 = 12.
  • Step 3: This simplifies to 3x - 3 = 12.
  • Step 4: Now, add 3 to both sides to eliminate the -3. This gives you 3x = 12 + 3.
  • Step 5: Simplify the right side to get 3x = 15.
  • Step 6: Finally, divide both sides by 3 to solve for x. This gives you x = 15 / 3.
  • Step 7: Simplifying that gives you x = 5.
  • 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 simplify and solve equations.
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