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Solve for x: 3x - 7 = 2x + 5. (2021)

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Question: Solve for x: 3x - 7 = 2x + 5. (2021)

Options:

  1. 12
  2. 11
  3. 10
  4. 9

Correct Answer: 12

Exam Year: 2021

Solution: 

Subtract 2x from both sides: x - 7 = 5. Then add 7: x = 12.

Solve for x: 3x - 7 = 2x + 5. (2021)

Practice Questions

Q1
Solve for x: 3x - 7 = 2x + 5. (2021)
  1. 12
  2. 11
  3. 10
  4. 9

Questions & Step-by-Step Solutions

Solve for x: 3x - 7 = 2x + 5. (2021)
  • Step 1: Start with the equation 3x - 7 = 2x + 5.
  • Step 2: Subtract 2x from both sides to get 3x - 2x - 7 = 5.
  • Step 3: This simplifies to x - 7 = 5.
  • Step 4: Now, add 7 to both sides to isolate x.
  • Step 5: This gives you x = 5 + 7.
  • Step 6: Finally, calculate 5 + 7 to find x = 12.
  • 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 and subtraction on both sides of the equation.
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