6=7sin(5x)

Solution for 6=7sin(5x) equation:

Simplifying
6 = 7sin(5x)

Remove parenthesis around (5x)
6 = 7ins * 5x

Reorder the terms for easier multiplication:
6 = 7 * 5ins * x

Multiply 7 * 5
6 = 35ins * x

Multiply ins * x
6 = 35insx

Solving
6 = 35insx

Solving for variable 'i'.

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

Add '-35insx' to each side of the equation.
6 + -35insx = 35insx + -35insx

Combine like terms: 35insx + -35insx = 0
6 + -35insx = 0

Add '-6' to each side of the equation.
6 + -6 + -35insx = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -35insx = 0 + -6
-35insx = 0 + -6

Combine like terms: 0 + -6 = -6
-35insx = -6

Divide each side by '-35nsx'.
i = 0.1714285714n-1s-1x-1

Simplifying
i = 0.1714285714n-1s-1x-1