Question 330953
first simplify (a common thing to do in most math problems) to get the absolute expression on one side

3|-7x|+8<50
|-7x|<42/3=14,   |-7x|=|7x|

|7x|<14

-14<7x<14  
anytime you have |expression|<number, rewrite as 
-number<expression<number to get rid of the absolute symbols

-2<x<2