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If 5x - 7 = 3x + 9, what is the value of x?

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Question: If 5x - 7 = 3x + 9, what is the value of x?

Options:

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

Correct Answer: 8

Solution: 

Subtract 3x from both sides: 2x - 7 = 9. Add 7: 2x = 16. Divide by 2: x = 8.

If 5x - 7 = 3x + 9, what is the value of x?

Practice Questions

Q1
If 5x - 7 = 3x + 9, what is the value of x?
  1. 8
  2. 7
  3. 6
  4. 5

Questions & Step-by-Step Solutions

If 5x - 7 = 3x + 9, what is the value of x?
Correct Answer: 8
  • Step 1: Start with the equation 5x - 7 = 3x + 9.
  • Step 2: Subtract 3x from both sides to get 5x - 3x - 7 = 9.
  • Step 3: This simplifies to 2x - 7 = 9.
  • Step 4: Now, add 7 to both sides to eliminate -7. This gives you 2x = 9 + 7.
  • Step 5: Simplifying the right side, you get 2x = 16.
  • Step 6: Finally, divide both sides by 2 to solve for x. This gives you x = 16 / 2.
  • Step 7: Therefore, x = 8.
  • 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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