We have the following:
We have that angle 5 and angle 7 are equal, therefore we propose the following equality
[tex]12x+4=10x+16[/tex]
solving for x
[tex]\begin{gathered} 12x+4=10x+16 \\ 12x-10x=16-4 \\ 2x=12 \\ x=\frac{12}{2}=6 \end{gathered}[/tex]
Therefore, the value of x is 6
