(6-5I)+(-2+6I)=

Solution for (6-5I)+(-2+6I)= equation:

Simplifying
(6 + -5I) + (-2 + 6I) = 0

Remove parenthesis around (6 + -5I)
6 + -5I + (-2 + 6I) = 0

Remove parenthesis around (-2 + 6I)
6 + -5I + -2 + 6I = 0

Reorder the terms:
6 + -2 + -5I + 6I = 0

Combine like terms: 6 + -2 = 4
4 + -5I + 6I = 0

Combine like terms: -5I + 6I = 1I
4 + 1I = 0

Solving
4 + 1I = 0

Solving for variable 'I'.

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

Add '-4' to each side of the equation.
4 + -4 + 1I = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 1I = 0 + -4
1I = 0 + -4

Combine like terms: 0 + -4 = -4
1I = -4

Divide each side by '1'.
I = -4

Simplifying
I = -4