The given equation is
[tex]4x+6<2[/tex]First, we subtract 6 on each side.
[tex]\begin{gathered} 4x+6-6<2-6 \\ 4x<-4 \end{gathered}[/tex]Then, we divide the inequality by 4.
[tex]\begin{gathered} \frac{4x}{4}<-\frac{4}{4} \\ x<-1 \end{gathered}[/tex]