Question 995823
.
9sin(x) = 8 - sin(x).


9sin(x) + sin(x) = 8,


10sin(x) = 8,


sin(x) = {{{8/10}}} = {{{4/5}}}.


x = arcsin(4/5).                     This angle is in the 1-st quadrant.


x = {{{pi}}} - arcsin(4/5).             This angle is in the 2-nd quadrant.


There are no other solutions in this interval/segment [{{{0}}}, {{{2pi}}}].