The inequality to solve is:
[tex]2(x-2)+8.6<14[/tex]First we distribute the 2 inside the parenthesis, we get:
[tex]\begin{gathered} 2(x-2)+8.6<14 \\ 2x-4+8.6<14 \end{gathered}[/tex]We collect like terms and solve for x:
[tex]\begin{gathered} 2x-4+8.6<14 \\ 2x<14+4-8.6 \\ 2x<9.4 \\ x<\frac{9.4}{2} \\ x<4.7 \end{gathered}[/tex]x is less than 4.7