9cosx+6=7cosx+5

Solution for 9cosx+6=7cosx+5 equation:

Simplifying
9cosx + 6 = 7cosx + 5

Reorder the terms:
6 + 9cosx = 7cosx + 5

Reorder the terms:
6 + 9cosx = 5 + 7cosx

Solving
6 + 9cosx = 5 + 7cosx

Solving for variable 'c'.

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

Add '-7cosx' to each side of the equation.
6 + 9cosx + -7cosx = 5 + 7cosx + -7cosx

Combine like terms: 9cosx + -7cosx = 2cosx
6 + 2cosx = 5 + 7cosx + -7cosx

Combine like terms: 7cosx + -7cosx = 0
6 + 2cosx = 5 + 0
6 + 2cosx = 5

Add '-6' to each side of the equation.
6 + -6 + 2cosx = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 2cosx = 5 + -6
2cosx = 5 + -6

Combine like terms: 5 + -6 = -1
2cosx = -1

Divide each side by '2osx'.
c = -0.5o-1s-1x-1

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