According to the image the segment EG is equal to 11, this is also the addition of segment EF, x, and segment FG, x-7.
According to this the segment EG can be written in an equation like this
[tex]\begin{gathered} EG=EF+FG \\ 11=(x)+(x-7) \end{gathered}[/tex]Solve this expression to find the value of x
[tex]\begin{gathered} 11=2x-7 \\ 11+7=2x \\ 2x=18 \\ x=\frac{18}{2} \\ x=9 \end{gathered}[/tex]After having the value of x
