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Solve for x: 8 - 3x = 2.

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Question: Solve for x: 8 - 3x = 2.

Options:

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

Correct Answer: x = 2

Solution: 

Step 1: Subtract 8 from both sides: -3x = -6. Step 2: Divide both sides by -3: x = 2.

Solve for x: 8 - 3x = 2.

Practice Questions

Q1
Solve for x: 8 - 3x = 2.
  1. x = 1
  2. x = 2
  3. x = 3
  4. x = 4

Questions & Step-by-Step Solutions

Solve for x: 8 - 3x = 2.
  • Step 1: Start with the equation 8 - 3x = 2.
  • Step 2: To get rid of the 8 on the left side, subtract 8 from both sides. This gives you -3x = 2 - 8.
  • Step 3: Simplify the right side. 2 - 8 equals -6, so now you have -3x = -6.
  • Step 4: Now, to solve for x, you need to get rid of the -3 in front of x. Do this by dividing both sides by -3.
  • Step 5: When you divide -6 by -3, you get 2. So, x = 2.
  • Linear Equations – The question tests the ability to solve a simple linear equation by isolating the variable.
  • Algebraic Manipulation – It assesses skills in performing basic algebraic operations such as addition, subtraction, and division.
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