How do i solve for x algebraically

This is the equation I'm trying to solve: 5^x = 4+x. Any suggestions on how to solve this algebraically?

If you just want a single integer answer, you can get away with x = 1.

Otherwise:
http://www.wolframalpha.com/input/?i=5^x+%3D+4%2Bx

5x=4+x ..........5x-x=4........................…

if x is positive on the rigth if i go on the left it will be negative and vice vrsa
if x is multiplied on the rigth if i go on the left it will be divided and vice versa

4=5^x -x

x=1

lol. i checked and it works

prosess of elimination (guess and check)

me: hmmm it can't be more than 2...

idk how to show my work for this one sorry