2(cosx-1)+3=(cosx-2)-2(cosx-3)

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Solution for 2(cosx-1)+3=(cosx-2)-2(cosx-3) equation:


Simplifying
2(cosx + -1) + 3 = (cosx + -2) + -2(cosx + -3)

Reorder the terms:
2(-1 + cosx) + 3 = (cosx + -2) + -2(cosx + -3)
(-1 * 2 + cosx * 2) + 3 = (cosx + -2) + -2(cosx + -3)
(-2 + 2cosx) + 3 = (cosx + -2) + -2(cosx + -3)

Reorder the terms:
-2 + 3 + 2cosx = (cosx + -2) + -2(cosx + -3)

Combine like terms: -2 + 3 = 1
1 + 2cosx = (cosx + -2) + -2(cosx + -3)

Reorder the terms:
1 + 2cosx = (-2 + cosx) + -2(cosx + -3)

Remove parenthesis around (-2 + cosx)
1 + 2cosx = -2 + cosx + -2(cosx + -3)

Reorder the terms:
1 + 2cosx = -2 + cosx + -2(-3 + cosx)
1 + 2cosx = -2 + cosx + (-3 * -2 + cosx * -2)
1 + 2cosx = -2 + cosx + (6 + -2cosx)

Reorder the terms:
1 + 2cosx = -2 + 6 + cosx + -2cosx

Combine like terms: -2 + 6 = 4
1 + 2cosx = 4 + cosx + -2cosx

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

Solving
1 + 2cosx = 4 + -1cosx

Solving for variable 'c'.

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

Add 'cosx' to each side of the equation.
1 + 2cosx + cosx = 4 + -1cosx + cosx

Combine like terms: 2cosx + cosx = 3cosx
1 + 3cosx = 4 + -1cosx + cosx

Combine like terms: -1cosx + cosx = 0
1 + 3cosx = 4 + 0
1 + 3cosx = 4

Add '-1' to each side of the equation.
1 + -1 + 3cosx = 4 + -1

Combine like terms: 1 + -1 = 0
0 + 3cosx = 4 + -1
3cosx = 4 + -1

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

Divide each side by '3osx'.
c = o-1s-1x-1

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

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