(3x+2)=cos(4x-10)

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Solution for (3x+2)=cos(4x-10) equation:


Simplifying
(3x + 2) = cos(4x + -10)

Reorder the terms:
(2 + 3x) = cos(4x + -10)

Remove parenthesis around (2 + 3x)
2 + 3x = cos(4x + -10)

Reorder the terms:
2 + 3x = cos(-10 + 4x)
2 + 3x = (-10 * cos + 4x * cos)
2 + 3x = (-10cos + 4cosx)

Solving
2 + 3x = -10cos + 4cosx

Solving for variable 'x'.

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

Add '-4cosx' to each side of the equation.
2 + -4cosx + 3x = -10cos + 4cosx + -4cosx

Combine like terms: 4cosx + -4cosx = 0
2 + -4cosx + 3x = -10cos + 0
2 + -4cosx + 3x = -10cos

Add '-2' to each side of the equation.
2 + -4cosx + -2 + 3x = -2 + -10cos

Reorder the terms:
2 + -2 + -4cosx + 3x = -2 + -10cos

Combine like terms: 2 + -2 = 0
0 + -4cosx + 3x = -2 + -10cos
-4cosx + 3x = -2 + -10cos

Reorder the terms:
2 + 10cos + -4cosx + 3x = -2 + -10cos + 2 + 10cos

Reorder the terms:
2 + 10cos + -4cosx + 3x = -2 + 2 + -10cos + 10cos

Combine like terms: -2 + 2 = 0
2 + 10cos + -4cosx + 3x = 0 + -10cos + 10cos
2 + 10cos + -4cosx + 3x = -10cos + 10cos

Combine like terms: -10cos + 10cos = 0
2 + 10cos + -4cosx + 3x = 0

The solution to this equation could not be determined.

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