Given the equation 3x + 25 = 7x + 5, which order of operations completely solves for x?

To solve the equation 3x + 25 = 7x + 5, we need to isolate x. Here’s how we can do it step by step:

1. Subtract 3x from both sides:
   This helps us get all the x terms on one side of the equation. So, we subtract 3x from both sides:

3x + 25 - 3x = 7x + 5 - 3x

25 = 4x + 5

2. Subtract 5 from both sides:
   Next, we want to isolate the term with x by getting rid of the constant on the right side:

25 - 5 = 4x + 5 - 5

20 = 4x

3. Divide both sides by 4:
   To solve for x, we now divide both sides by 4:

20 / 4 = 4x / 4

5 = x

Thus, the solution to the equation 3x + 25 = 7x + 5 is x = 5. By following the correct order of operations—first isolating the x terms, then eliminating constants, and finally solving—we arrive at the value of x efficiently.