How do you solve the equation 3x + 25 = 7x + 5 using the order of operations?

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To solve the equation 3x + 25 = 7x + 5, we need to isolate the variable x. We can do this by following these steps:

  1. Combine like terms: Start by getting all terms involving x on one side of the equation and constants on the other side.
  2. Subtract 3x from both sides:
    3. 3x + 25 - 3x = 7x + 5 - 3x
  3. This simplifies to:
    4. 25 = 4x + 5
  4. Move constants: Next, we need to isolate 4x. To do this, subtract 5 from both sides:
    5. 25 - 5 = 4x + 5 - 5
  5. Now we have:
    6. 20 = 4x
  6. Divide to solve for x: Finally, divide both sides by 4 to get the value of x: 
    7. x = 20 / 4
  7. This simplifies to:
    8. x = 5

In conclusion, the solution to the equation 3x + 25 = 7x + 5 is x = 5.

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