Alrighty!
To begin with, set both equations equal to each other because they're across from each other and therefore are equal to each other.
2x+2=3x-52
Now, you get the x-values on one side of the equal sign.
Subtract 2x from both sides, this gives you: 2=x-52
Then, add 52 to both sides to isolate x.
54=x
Check the work! Plug 54 into both equations, if both of the equations end up with the same value, then you did the problem correctly.
2*54+2=110 degrees.
3*54-52=110 degrees.
x is definitely equal to 54.
Hope this helps!! (: