Given the equation 3x + 25 = 7x - 5, which order of operations completely solves for x?
Add 3x, then subtract 25, lastly divide by 10
Subtract 3x, then add 5, lastly divide by 4
Add 7x, then add 25, lastly divide by 10
Subtract 7x, then add 5, lastly divide by 10

Solution:

It is given that

3x + 25 = 7x - 5

Subtract 3x on both sides

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

25 = 4x - 5

Add 5 on both sides

25 + 5 = 4x - 5 + 5

30 = 4x

Divide both sides by 4

x = 7.5

Therefore, subtract 3x, then add 5, lastly divide by 4 completely solves for x.

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

Summary:

Given the equation 3x + 25 = 7x - 5, the order of operations which completely solves for x is subtract 3x, then add 5, lastly divide by 4.