Can u solve this for me: 72 + 4x = 2x + 82 and show work

The answer is X = 5 because first you have to take away 2x from that side so u minus 2x from 4x that gives u: 72 + 2x = 82 then you have to minus 72 from both sides and that gives you 2x = 10 once you have that you divide both sides by 2 because you want the X by itself and once you get that X = 5. Hope this helped!

To solve an algebraic equation, you have to get x by itself so that x = something.  In order to get x by itself you have to manipulate the equation, making sure that whatever you do to one side, you also do to the other side to keep it true.  Let's do yours...

72 + 4x = 2x + 82

Let's keep x on the left and move the other numbers over to the right side (you can do it either way though).  Move 72 over to the right side by subtracting it from both sides (that cancels it on the left because 72 - 72 = 0).  Then combine like terms.

72 + 4x - 72 = 2x + 82 - 72
4x = 2x + 10

Now move 2x to the left side by subtracting it from both sides then combine like terms.

4x - 2x = 10
2x = 10

Lastly... divide each side by 2 (2/2 = 1 so that cancels it on the left)

x = 10/2
x = 5