6=7sin(8x)

Solution for 6=7sin(8x) equation:

Simplifying
6 = 7sin(8x)

Remove parenthesis around (8x)
6 = 7ins * 8x

Reorder the terms for easier multiplication:
6 = 7 * 8ins * x

Multiply 7 * 8
6 = 56ins * x

Multiply ins * x
6 = 56insx

Solving
6 = 56insx

Solving for variable 'i'.

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

Add '-56insx' to each side of the equation.
6 + -56insx = 56insx + -56insx

Combine like terms: 56insx + -56insx = 0
6 + -56insx = 0

Add '-6' to each side of the equation.
6 + -6 + -56insx = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -56insx = 0 + -6
-56insx = 0 + -6

Combine like terms: 0 + -6 = -6
-56insx = -6

Divide each side by '-56nsx'.
i = 0.1071428571n-1s-1x-1

Simplifying
i = 0.1071428571n-1s-1x-1