When given sin(5x)=0, and asked to find x, I would basically have to solve for 5x first, and then divide my answers by 5.

Question

My question is if it was, for example, sin(5x+2)=0, would I minus 2, then divide by 5? Or divide by 5 then minus 2?

Answer 1

You don't specify if you want your x to be in degrees or radians.
I will assume it is radians

So
sin(5x+2) = 0
then
1. 5x+2 = 0
or
2. 5x + 2 = pi
or
3. 5x + 2 = 2pi etc

1. 5x+2 = 0
5x = -2
x = -2/5 radians

2. 5x+2 = pi
5x = (pi - 2)
x = (pi - 2)/5 radians

etc.

Answer 2

Thank you!

Oh, sorry! I assumed it wouldn't have an effect on my question.