(6+5i)-(2-7i)=

Solution for (6+5i)-(2-7i)= equation:

Simplifying
(6 + 5i) + -1(2 + -7i) = 0

Remove parenthesis around (6 + 5i)
6 + 5i + -1(2 + -7i) = 0
6 + 5i + (2 * -1 + -7i * -1) = 0
6 + 5i + (-2 + 7i) = 0

Reorder the terms:
6 + -2 + 5i + 7i = 0

Combine like terms: 6 + -2 = 4
4 + 5i + 7i = 0

Combine like terms: 5i + 7i = 12i
4 + 12i = 0

Solving
4 + 12i = 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 + 12i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 12i = 0 + -4
12i = 0 + -4

Combine like terms: 0 + -4 = -4
12i = -4

Divide each side by '12'.
i = -0.3333333333

Simplifying
i = -0.3333333333