Solving equations and finding solution set

[AlisonWagner]

Homework Statement

Solve the equation in the interval [0,2∏)
3 sinx-6 = sinx-5

Homework Equations

The Attempt at a Solution

I originally tried to set it equal to zero and then divide by the 3 and then factor out the sinx but I didn't think that made any sense? HELP!

 

[bigfooted]

suppose sin(x) was called X. How would you then solve the problem?

 

[AlisonWagner]

Ooh! I totally got it now! I was completely stuck until you said that. Thanks!