(3x+9)=cos(x+5)

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Solution for (3x+9)=cos(x+5) equation:


Simplifying
(3x + 9) = cos(x + 5)

Reorder the terms:
(9 + 3x) = cos(x + 5)

Remove parenthesis around (9 + 3x)
9 + 3x = cos(x + 5)

Reorder the terms:
9 + 3x = cos(5 + x)
9 + 3x = (5 * cos + x * cos)
9 + 3x = (5cos + cosx)

Solving
9 + 3x = 5cos + cosx

Solving for variable 'x'.

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

Add '-1cosx' to each side of the equation.
9 + -1cosx + 3x = 5cos + cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
9 + -1cosx + 3x = 5cos + 0
9 + -1cosx + 3x = 5cos

Add '-9' to each side of the equation.
9 + -1cosx + -9 + 3x = -9 + 5cos

Reorder the terms:
9 + -9 + -1cosx + 3x = -9 + 5cos

Combine like terms: 9 + -9 = 0
0 + -1cosx + 3x = -9 + 5cos
-1cosx + 3x = -9 + 5cos

Reorder the terms:
9 + -5cos + -1cosx + 3x = -9 + 5cos + 9 + -5cos

Reorder the terms:
9 + -5cos + -1cosx + 3x = -9 + 9 + 5cos + -5cos

Combine like terms: -9 + 9 = 0
9 + -5cos + -1cosx + 3x = 0 + 5cos + -5cos
9 + -5cos + -1cosx + 3x = 5cos + -5cos

Combine like terms: 5cos + -5cos = 0
9 + -5cos + -1cosx + 3x = 0

The solution to this equation could not be determined.

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