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

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

Options:

  1. 1
  2. 6
  3. 8
  4. 4

Correct Answer: 1

Solution: 

Subtract 3x from both sides: 2x - 7 = 5. Add 7 to both sides: 2x = 12. Divide by 2: x = 6.

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

Practice Questions

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

Questions & Step-by-Step Solutions

If 5x - 7 = 3x + 5, what is the value of x?
Correct Answer: 6
  • Step 1: Start with the equation 5x - 7 = 3x + 5.
  • Step 2: Subtract 3x from both sides to get 5x - 3x - 7 = 5.
  • Step 3: Simplify the left side: 2x - 7 = 5.
  • Step 4: Add 7 to both sides to eliminate -7: 2x - 7 + 7 = 5 + 7.
  • Step 5: Simplify both sides: 2x = 12.
  • Step 6: Divide both sides by 2 to solve for x: 2x / 2 = 12 / 2.
  • Step 7: Simplify to find x: 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 algebraic operations such as addition, subtraction, and division.
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