Solve 2-3cos x=5+3cox x for 0 degree < = x < = 180 degree

You have the following expression given in the problem above: 2-3co x=5+3cosx. To solve it, you must apply the proccedure shown below:

You have:

2-3cosx=5+3cosx

Solve for cosx:

-3cosx-3cosx=5-2

-6cosx=3

cosx=3/-6

cosx=-1/2

x=120°

The answer is: 120°