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Find the value of x in the equation 5x - 2 = 3x + 6.

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Question: Find the value of x in the equation 5x - 2 = 3x + 6.

Options:

  1. x = 2
  2. x = 3
  3. x = 4
  4. x = 5

Correct Answer: x = 2

Solution: 

Subtract 3x from both sides: 2x - 2 = 6. Add 2: 2x = 8. Divide by 2: x = 4.

Find the value of x in the equation 5x - 2 = 3x + 6.

Practice Questions

Q1
Find the value of x in the equation 5x - 2 = 3x + 6.
  1. x = 2
  2. x = 3
  3. x = 4
  4. x = 5

Questions & Step-by-Step Solutions

Find the value of x in the equation 5x - 2 = 3x + 6.
Correct Answer: 4
  • Step 1: Start with the equation 5x - 2 = 3x + 6.
  • Step 2: Subtract 3x from both sides to get 5x - 3x - 2 = 6.
  • Step 3: Simplify the left side: 2x - 2 = 6.
  • Step 4: Add 2 to both sides to eliminate -2: 2x - 2 + 2 = 6 + 2.
  • Step 5: Simplify both sides: 2x = 8.
  • Step 6: Divide both sides by 2 to solve for x: 2x / 2 = 8 / 2.
  • Step 7: Simplify to find x: x = 4.
  • 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 equations.
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