Question 1091403
<br>The problem can't be solved with the information you show.<br>
EH = 26+x and EG = 23+x --> GH = 3
EG = 23+x and FG = 14+x --> EF = 9<br>
But there is nothing in the given information that lets us determine the value of x, or the length of FG.<br>
You say the answer is supposed to be that EG is 18; since EG is given as 23+x, that means x is supposed to be -5.  But you can choose any other value of x, and the given information will still be consistent.  And of course a different value for x will give a different length for EG.<br>
So, as you show the problem, it cannot be solved.