[tex]FH=FG+GH[/tex]
repalce the values
[tex](5x+2)=(x+5)+(5x-9)[/tex]
and solve for x
[tex]\begin{gathered} 5x-x-5x=5-9-2 \\ -x=-6 \\ x=6 \end{gathered}[/tex]
the value of x is 6
now replacing on FG
[tex]\begin{gathered} FG=x+5 \\ FG=6+5 \\ FG=11 \end{gathered}[/tex]
