5cos(x)-3=cos(2x)

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Solution for 5cos(x)-3=cos(2x) equation:


Simplifying
5cos(x) + -3 = cos(2x)

Multiply cos * x
5cosx + -3 = cos(2x)

Reorder the terms:
-3 + 5cosx = cos(2x)

Remove parenthesis around (2x)
-3 + 5cosx = cos * 2x

Reorder the terms for easier multiplication:
-3 + 5cosx = 2cos * x

Multiply cos * x
-3 + 5cosx = 2cosx

Solving
-3 + 5cosx = 2cosx

Solving for variable 'c'.

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

Add '-2cosx' to each side of the equation.
-3 + 5cosx + -2cosx = 2cosx + -2cosx

Combine like terms: 5cosx + -2cosx = 3cosx
-3 + 3cosx = 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
-3 + 3cosx = 0

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

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

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

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

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

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