Solving equations and finding solution set

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AlisonWagner
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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!
 
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suppose sin(x) was called X. How would you then solve the problem?
 
Ooh! I totally got it now! I was completely stuck until you said that. Thanks!