What is the general solution for 3cos(x)=2-cos(x) ?

The general solution for 3cos(x)=2-cos(x) is x= pi/3+2pin,x=(5pi)/3+2pin

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3cos(x)=2-cos(x)

3 cos (x) = 2 - cos (x)

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Solution steps

3 cos (x) = 2 - cos (x)

Solve by substitution

cos (x) = \frac{1}{2}

cos (x) = \frac{1}{2} : x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Combine all the solutions

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

2 cos^{2} (3 x) - 3 cos (3 x) = - 1, 0 \leq x \leq 2 π

x, z = y^{s i n (x)}

t, 10 = 14 + 8 sin (\frac{π t}{12})

cos (4 x) cos (x - 1) = 0

cos (0.5 t + 0.464) = 1

What is the general solution for 3cos(x)=2-cos(x) ?
The general solution for 3cos(x)=2-cos(x) is x= pi/3+2pin,x=(5pi)/3+2pin