Solve the given inequality just as we normally solve and equation, it means, isolate x to one side of the sign:
[tex]\begin{gathered} 2-3(x+5)<4 \\ -3(x+5)<2 \\ x+5>-\frac{2}{3} \\ x>-\frac{2}{3}-5 \\ x>-\frac{17}{3} \end{gathered}[/tex]The solution is x is greater than -17/3.