8sin(2x)-1=x

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Solution for 8sin(2x)-1=x equation:


Simplifying
8sin(2x) + -1 = x

Remove parenthesis around (2x)
8ins * 2x + -1 = x

Reorder the terms for easier multiplication:
8 * 2ins * x + -1 = x

Multiply 8 * 2
16ins * x + -1 = x

Multiply ins * x
16insx + -1 = x

Reorder the terms:
-1 + 16insx = x

Solving
-1 + 16insx = x

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + 1 + 16insx = 1 + x

Combine like terms: -1 + 1 = 0
0 + 16insx = 1 + x
16insx = 1 + x

Divide each side by '16nsx'.
i = 0.0625n-1s-1x-1 + 0.0625n-1s-1

Simplifying
i = 0.0625n-1s-1x-1 + 0.0625n-1s-1

Reorder the terms:
i = 0.0625n-1s-1 + 0.0625n-1s-1x-1

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