5sinx-2=sinx

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Solution for 5sinx-2=sinx equation:


Simplifying
5sinx + -2 = sinx

Reorder the terms:
-2 + 5insx = sinx

Solving
-2 + 5insx = insx

Solving for variable 'i'.

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

Add '-1insx' to each side of the equation.
-2 + 5insx + -1insx = insx + -1insx

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

Combine like terms: insx + -1insx = 0
-2 + 4insx = 0

Add '2' to each side of the equation.
-2 + 2 + 4insx = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 4insx = 0 + 2
4insx = 0 + 2

Combine like terms: 0 + 2 = 2
4insx = 2

Divide each side by '4nsx'.
i = 0.5n-1s-1x-1

Simplifying
i = 0.5n-1s-1x-1

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