11cos(x)+6=-cos(x)

Solution for 11cos(x)+6=-cos(x) equation:

Simplifying
11cos(x) + 6 = -1cos(x)

Multiply cos * x
11cosx + 6 = -1cos(x)

Reorder the terms:
6 + 11cosx = -1cos(x)

Multiply cos * x
6 + 11cosx = -1cosx

Solving
6 + 11cosx = -1cosx

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add 'cosx' to each side of the equation.
6 + 11cosx + cosx = -1cosx + cosx

Combine like terms: 11cosx + cosx = 12cosx
6 + 12cosx = -1cosx + cosx

Combine like terms: -1cosx + cosx = 0
6 + 12cosx = 0

Add '-6' to each side of the equation.
6 + -6 + 12cosx = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 12cosx = 0 + -6
12cosx = 0 + -6

Combine like terms: 0 + -6 = -6
12cosx = -6

Divide each side by '12osx'.
c = -0.5o-1s-1x-1

Simplifying
c = -0.5o-1s-1x-1