6cos(3x)+3=4cos(3x)+4

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Solution for 6cos(3x)+3=4cos(3x)+4 equation:


Simplifying
6cos(3x) + 3 = 4cos(3x) + 4

Remove parenthesis around (3x)
6cos * 3x + 3 = 4cos(3x) + 4

Reorder the terms for easier multiplication:
6 * 3cos * x + 3 = 4cos(3x) + 4

Multiply 6 * 3
18cos * x + 3 = 4cos(3x) + 4

Multiply cos * x
18cosx + 3 = 4cos(3x) + 4

Reorder the terms:
3 + 18cosx = 4cos(3x) + 4

Remove parenthesis around (3x)
3 + 18cosx = 4cos * 3x + 4

Reorder the terms for easier multiplication:
3 + 18cosx = 4 * 3cos * x + 4

Multiply 4 * 3
3 + 18cosx = 12cos * x + 4

Multiply cos * x
3 + 18cosx = 12cosx + 4

Reorder the terms:
3 + 18cosx = 4 + 12cosx

Solving
3 + 18cosx = 4 + 12cosx

Solving for variable 'c'.

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

Add '-12cosx' to each side of the equation.
3 + 18cosx + -12cosx = 4 + 12cosx + -12cosx

Combine like terms: 18cosx + -12cosx = 6cosx
3 + 6cosx = 4 + 12cosx + -12cosx

Combine like terms: 12cosx + -12cosx = 0
3 + 6cosx = 4 + 0
3 + 6cosx = 4

Add '-3' to each side of the equation.
3 + -3 + 6cosx = 4 + -3

Combine like terms: 3 + -3 = 0
0 + 6cosx = 4 + -3
6cosx = 4 + -3

Combine like terms: 4 + -3 = 1
6cosx = 1

Divide each side by '6osx'.
c = 0.1666666667o-1s-1x-1

Simplifying
c = 0.1666666667o-1s-1x-1

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