5i+6=6i-2

Solution for 5i+6=6i-2 equation:

Simplifying
5i + 6 = 6i + -2

Reorder the terms:
6 + 5i = 6i + -2

Reorder the terms:
6 + 5i = -2 + 6i

Solving
6 + 5i = -2 + 6i

Solving for variable 'i'.

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

Add '-6i' to each side of the equation.
6 + 5i + -6i = -2 + 6i + -6i

Combine like terms: 5i + -6i = -1i
6 + -1i = -2 + 6i + -6i

Combine like terms: 6i + -6i = 0
6 + -1i = -2 + 0
6 + -1i = -2

Add '-6' to each side of the equation.
6 + -6 + -1i = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -1i = -2 + -6
-1i = -2 + -6

Combine like terms: -2 + -6 = -8
-1i = -8

Divide each side by '-1'.
i = 8

Simplifying
i = 8