6=7sin(2x)

Solution for 6=7sin(2x) equation:

Simplifying
6 = 7sin(2x)

Remove parenthesis around (2x)
6 = 7ins * 2x

Reorder the terms for easier multiplication:
6 = 7 * 2ins * x

Multiply 7 * 2
6 = 14ins * x

Multiply ins * x
6 = 14insx

Solving
6 = 14insx

Solving for variable 'i'.

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

Add '-14insx' to each side of the equation.
6 + -14insx = 14insx + -14insx

Combine like terms: 14insx + -14insx = 0
6 + -14insx = 0

Add '-6' to each side of the equation.
6 + -6 + -14insx = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -14insx = 0 + -6
-14insx = 0 + -6

Combine like terms: 0 + -6 = -6
-14insx = -6

Divide each side by '-14nsx'.
i = 0.4285714286n-1s-1x-1

Simplifying
i = 0.4285714286n-1s-1x-1