Question 916805
Multiply both members by 24 to clear the denominators.

I am assuming that each expression inside absolute value functions is linear in x.


|48-16x|=|96+21x|


Either the signs of each expressions value are the same or they are opposite.  Solve each of these equations:


{{{48-16x=96+21x}}}   and  {{{16x-48=96+21x}}}.


The results of each of those should be combined with OR conjuction.