(3x+20)=cos(2x-10)

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Solution for (3x+20)=cos(2x-10) equation:


Simplifying
(3x + 20) = cos(2x + -10)

Reorder the terms:
(20 + 3x) = cos(2x + -10)

Remove parenthesis around (20 + 3x)
20 + 3x = cos(2x + -10)

Reorder the terms:
20 + 3x = cos(-10 + 2x)
20 + 3x = (-10 * cos + 2x * cos)
20 + 3x = (-10cos + 2cosx)

Solving
20 + 3x = -10cos + 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.
20 + -2cosx + 3x = -10cos + 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
20 + -2cosx + 3x = -10cos + 0
20 + -2cosx + 3x = -10cos

Add '-20' to each side of the equation.
20 + -2cosx + -20 + 3x = -20 + -10cos

Reorder the terms:
20 + -20 + -2cosx + 3x = -20 + -10cos

Combine like terms: 20 + -20 = 0
0 + -2cosx + 3x = -20 + -10cos
-2cosx + 3x = -20 + -10cos

Reorder the terms:
20 + 10cos + -2cosx + 3x = -20 + -10cos + 20 + 10cos

Reorder the terms:
20 + 10cos + -2cosx + 3x = -20 + 20 + -10cos + 10cos

Combine like terms: -20 + 20 = 0
20 + 10cos + -2cosx + 3x = 0 + -10cos + 10cos
20 + 10cos + -2cosx + 3x = -10cos + 10cos

Combine like terms: -10cos + 10cos = 0
20 + 10cos + -2cosx + 3x = 0

The solution to this equation could not be determined.

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