3sinx+5=-2sinx

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Solution for 3sinx+5=-2sinx equation:


Simplifying
3sinx + 5 = -2sinx

Reorder the terms:
5 + 3insx = -2sinx

Solving
5 + 3insx = -2insx

Solving for variable 'i'.

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

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

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

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

Add '-5' to each side of the equation.
5 + -5 + 5insx = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 5insx = 0 + -5
5insx = 0 + -5

Combine like terms: 0 + -5 = -5
5insx = -5

Divide each side by '5nsx'.
i = -1n-1s-1x-1

Simplifying
i = -1n-1s-1x-1

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