6=7sin(3x)

Solution for 6=7sin(3x) equation:

Simplifying
6 = 7sin(3x)

Remove parenthesis around (3x)
6 = 7ins * 3x

Reorder the terms for easier multiplication:
6 = 7 * 3ins * x

Multiply 7 * 3
6 = 21ins * x

Multiply ins * x
6 = 21insx

Solving
6 = 21insx

Solving for variable 'i'.

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

Add '-21insx' to each side of the equation.
6 + -21insx = 21insx + -21insx

Combine like terms: 21insx + -21insx = 0
6 + -21insx = 0

Add '-6' to each side of the equation.
6 + -6 + -21insx = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -21insx = 0 + -6
-21insx = 0 + -6

Combine like terms: 0 + -6 = -6
-21insx = -6

Divide each side by '-21nsx'.
i = 0.2857142857n-1s-1x-1

Simplifying
i = 0.2857142857n-1s-1x-1