2*cos(x)-3*sin(x)=5

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Solution for 2*cos(x)-3*sin(x)=5 equation: 


Simplifying
2cos(x) + -3sin(x) = 5

Multiply cos * x
2cosx + -3sin(x) = 5

Multiply ins * x
2cosx + -3insx = 5

Solving
2cosx + -3insx = 5

Solving for variable 'c'.

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

Add '3insx' to each side of the equation.
2cosx + -3insx + 3insx = 5 + 3insx

Combine like terms: -3insx + 3insx = 0
2cosx + 0 = 5 + 3insx
2cosx = 5 + 3insx

Divide each side by '2osx'.
c = 2.5o-1s-1x-1 + 1.5ino-1

Simplifying
c = 2.5o-1s-1x-1 + 1.5ino-1

Reorder the terms:
c = 1.5ino-1 + 2.5o-1s-1x-1

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