6=2sin(5x)

Solution for 6=2sin(5x) equation:

Simplifying
6 = 2sin(5x)

Remove parenthesis around (5x)
6 = 2ins * 5x

Reorder the terms for easier multiplication:
6 = 2 * 5ins * x

Multiply 2 * 5
6 = 10ins * x

Multiply ins * x
6 = 10insx

Solving
6 = 10insx

Solving for variable 'i'.

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

Add '-10insx' to each side of the equation.
6 + -10insx = 10insx + -10insx

Combine like terms: 10insx + -10insx = 0
6 + -10insx = 0

Add '-6' to each side of the equation.
6 + -6 + -10insx = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -10insx = 0 + -6
-10insx = 0 + -6

Combine like terms: 0 + -6 = -6
-10insx = -6

Divide each side by '-10nsx'.
i = 0.6n-1s-1x-1

Simplifying
i = 0.6n-1s-1x-1