(x-3)=cos(2x+6)

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Solution for (x-3)=cos(2x+6) equation:


Simplifying
(x + -3) = cos(2x + 6)

Reorder the terms:
(-3 + x) = cos(2x + 6)

Remove parenthesis around (-3 + x)
-3 + x = cos(2x + 6)

Reorder the terms:
-3 + x = cos(6 + 2x)
-3 + x = (6 * cos + 2x * cos)
-3 + x = (6cos + 2cosx)

Solving
-3 + x = 6cos + 2cosx

Solving for variable 'x'.

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

Add '-2cosx' to each side of the equation.
-3 + -2cosx + x = 6cos + 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
-3 + -2cosx + x = 6cos + 0
-3 + -2cosx + x = 6cos

Add '3' to each side of the equation.
-3 + -2cosx + 3 + x = 3 + 6cos

Reorder the terms:
-3 + 3 + -2cosx + x = 3 + 6cos

Combine like terms: -3 + 3 = 0
0 + -2cosx + x = 3 + 6cos
-2cosx + x = 3 + 6cos

Reorder the terms:
-3 + -6cos + -2cosx + x = 3 + 6cos + -3 + -6cos

Reorder the terms:
-3 + -6cos + -2cosx + x = 3 + -3 + 6cos + -6cos

Combine like terms: 3 + -3 = 0
-3 + -6cos + -2cosx + x = 0 + 6cos + -6cos
-3 + -6cos + -2cosx + x = 6cos + -6cos

Combine like terms: 6cos + -6cos = 0
-3 + -6cos + -2cosx + x = 0

The solution to this equation could not be determined.

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