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If 6x - 2 = 4x + 10, what is the value of x?

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Question: If 6x - 2 = 4x + 10, what is the value of x?

Options:

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

Correct Answer: 4

Solution: 

Subtract 4x from both sides: 2x - 2 = 10. Add 2: 2x = 12. Divide by 2: x = 6.

If 6x - 2 = 4x + 10, what is the value of x?

Practice Questions

Q1
If 6x - 2 = 4x + 10, what is the value of x?
  1. 4
  2. 5
  3. 6
  4. 7

Questions & Step-by-Step Solutions

If 6x - 2 = 4x + 10, what is the value of x?
  • Step 1: Start with the equation 6x - 2 = 4x + 10.
  • Step 2: Subtract 4x from both sides to get 6x - 4x - 2 = 10.
  • Step 3: Simplify the left side to get 2x - 2 = 10.
  • Step 4: Add 2 to both sides to eliminate -2 from the left side.
  • Step 5: This gives you 2x = 12.
  • Step 6: Divide both sides by 2 to solve for x.
  • Step 7: You find that 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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