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

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


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

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

Reorder the terms for easier multiplication:
2cos * x + 3 = 5cos(x)

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

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

Multiply cos * x
3 + 2cosx = 5cosx

Solving
3 + 2cosx = 5cosx

Solving for variable 'c'.

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

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

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

Combine like terms: 5cosx + -5cosx = 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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