Adding 8 to the given equation we get:
[tex]\begin{gathered} 4x-8+8=14+8, \\ 4x=22. \end{gathered}[/tex]Dividing the above equation by 4 we get:
[tex]\begin{gathered} \frac{4x}{4}=\frac{22}{4}, \\ x=\frac{11}{2}\text{.} \end{gathered}[/tex]Answer:
[tex]x=\frac{11}{2}\text{.}[/tex]