2x+16=7+2x

how do you solve if the variable is the same on both sides of the equation

There are no real solutions to this equation and that would be your answer.

If you subtract 7 from both sides you get 2x+9=2x. No value of x would make that equation true, so you have to write on your paper that there are no real solutions as your answer.

First subtract the 7 from both sides and that would equal 2x+9=2x then subtract 2x and the answer is 9