Solve for x: 𝑦 = 2sinβˆ’1(π‘₯ βˆ’5)

?? Don't forget your basic Algebra I skills now that you're in trig.

y = 2arcsin(x-5)
y/2 = arcsin(x-5)
sin(y/2) = x-5
x = sin(y/2)+5