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What is the solution to the equation 5x + 2 = 3x + 10?

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Question: What is the solution to the equation 5x + 2 = 3x + 10?

Options:

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

Correct Answer: x = 4

Solution: 

Step 1: Subtract 3x from both sides: 2x + 2 = 10. Step 2: Subtract 2 from both sides: 2x = 8. Step 3: Divide by 2: x = 4.

What is the solution to the equation 5x + 2 = 3x + 10?

Practice Questions

Q1
What is the solution to the equation 5x + 2 = 3x + 10?
  1. x = 4
  2. x = 3
  3. x = 2
  4. x = 1

Questions & Step-by-Step Solutions

What is the solution to the equation 5x + 2 = 3x + 10?
  • Step 1: Start with the equation 5x + 2 = 3x + 10.
  • Step 2: Subtract 3x from both sides to get 5x - 3x + 2 = 10.
  • Step 3: This simplifies to 2x + 2 = 10.
  • Step 4: Now, subtract 2 from both sides to isolate the term with x.
  • Step 5: This gives you 2x = 10 - 2, which simplifies to 2x = 8.
  • Step 6: Finally, divide both sides by 2 to solve for x.
  • Step 7: This results in x = 8 / 2, which simplifies to x = 4.
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