Add 1.5 to both sides:
[tex]2\sin(x) = 1.83[/tex]
Divide both sides by 2:
[tex]\sin(x) = 0.915[/tex]
Consider the arcsin of both sides:
[tex]\arcsin(\sin(x)) = \arcsin(0.915)[/tex]
Arcsin and sin simplify, because they are inverse of each other:
[tex]x = \arcsin(0.915)[/tex]
