8-12cosx+5sinx=-5

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Solution for 8-12cosx+5sinx=-5 equation: 


Simplifying
8 + -12cosx + 5sinx = -5

Solving
8 + -12cosx + 5insx = -5

Solving for variable 'c'.

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

Add '-8' to each side of the equation.
8 + -12cosx + -8 + 5insx = -5 + -8

Reorder the terms:
8 + -8 + -12cosx + 5insx = -5 + -8

Combine like terms: 8 + -8 = 0
0 + -12cosx + 5insx = -5 + -8
-12cosx + 5insx = -5 + -8

Combine like terms: -5 + -8 = -13
-12cosx + 5insx = -13

Add '-5insx' to each side of the equation.
-12cosx + 5insx + -5insx = -13 + -5insx

Combine like terms: 5insx + -5insx = 0
-12cosx + 0 = -13 + -5insx
-12cosx = -13 + -5insx

Divide each side by '-12osx'.
c = 1.083333333o-1s-1x-1 + 0.4166666667ino-1

Simplifying
c = 1.083333333o-1s-1x-1 + 0.4166666667ino-1

Reorder the terms:
c = 0.4166666667ino-1 + 1.083333333o-1s-1x-1

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