2cos(2x)-1=cos(x)

Solution for 2cos(2x)-1=cos(x) equation:

Simplifying
2cos(2x) + -1 = cos(x)

Remove parenthesis around (2x)
2cos * 2x + -1 = cos(x)

Reorder the terms for easier multiplication:
2 * 2cos * x + -1 = cos(x)

Multiply 2 * 2
4cos * x + -1 = cos(x)

Multiply cos * x
4cosx + -1 = cos(x)

Reorder the terms:
-1 + 4cosx = cos(x)

Multiply cos * x
-1 + 4cosx = cosx

Solving
-1 + 4cosx = cosx

Solving for variable 'c'.

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

Add '-1cosx' to each side of the equation.
-1 + 4cosx + -1cosx = cosx + -1cosx

Combine like terms: 4cosx + -1cosx = 3cosx
-1 + 3cosx = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-1 + 3cosx = 0

Add '1' to each side of the equation.
-1 + 1 + 3cosx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3cosx = 0 + 1
3cosx = 0 + 1

Combine like terms: 0 + 1 = 1
3cosx = 1

Divide each side by '3osx'.
c = 0.3333333333o-1s-1x-1

Simplifying
c = 0.3333333333o-1s-1x-1