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What is the solution to the equation 7x - 2 = 5x + 6?

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Question: What is the solution to the equation 7x - 2 = 5x + 6?

Options:

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

Correct Answer: x = 4

Solution: 

Step 1: Subtract 5x from both sides: 2x - 2 = 6. Step 2: Add 2 to both sides: 2x = 8. Step 3: Divide by 2: x = 4.

What is the solution to the equation 7x - 2 = 5x + 6?

Practice Questions

Q1
What is the solution to the equation 7x - 2 = 5x + 6?
  1. x = 4
  2. x = 3
  3. x = 2
  4. x = 1

Questions & Step-by-Step Solutions

What is the solution to the equation 7x - 2 = 5x + 6?
  • Step 1: Start with the equation 7x - 2 = 5x + 6.
  • Step 2: Subtract 5x from both sides to get 7x - 5x - 2 = 6.
  • Step 3: This simplifies to 2x - 2 = 6.
  • Step 4: Now, add 2 to both sides to eliminate -2: 2x - 2 + 2 = 6 + 2.
  • Step 5: This simplifies to 2x = 8.
  • Step 6: Finally, divide both sides by 2 to solve for x: 2x / 2 = 8 / 2.
  • Step 7: This gives you x = 4.
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