3cosx+4=5cosx+5

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Solution for 3cosx+4=5cosx+5 equation:


Simplifying
3cosx + 4 = 5cosx + 5

Reorder the terms:
4 + 3cosx = 5cosx + 5

Reorder the terms:
4 + 3cosx = 5 + 5cosx

Solving
4 + 3cosx = 5 + 5cosx

Solving for variable 'c'.

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

Add '-5cosx' to each side of the equation.
4 + 3cosx + -5cosx = 5 + 5cosx + -5cosx

Combine like terms: 3cosx + -5cosx = -2cosx
4 + -2cosx = 5 + 5cosx + -5cosx

Combine like terms: 5cosx + -5cosx = 0
4 + -2cosx = 5 + 0
4 + -2cosx = 5

Add '-4' to each side of the equation.
4 + -4 + -2cosx = 5 + -4

Combine like terms: 4 + -4 = 0
0 + -2cosx = 5 + -4
-2cosx = 5 + -4

Combine like terms: 5 + -4 = 1
-2cosx = 1

Divide each side by '-2osx'.
c = -0.5o-1s-1x-1

Simplifying
c = -0.5o-1s-1x-1

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