(6+7i)-(12-5i)=

Solution for (6+7i)-(12-5i)= equation:

Simplifying
(6 + 7i) + -1(12 + -5i) = 0

Remove parenthesis around (6 + 7i)
6 + 7i + -1(12 + -5i) = 0
6 + 7i + (12 * -1 + -5i * -1) = 0
6 + 7i + (-12 + 5i) = 0

Reorder the terms:
6 + -12 + 7i + 5i = 0

Combine like terms: 6 + -12 = -6
-6 + 7i + 5i = 0

Combine like terms: 7i + 5i = 12i
-6 + 12i = 0

Solving
-6 + 12i = 0

Solving for variable 'i'.

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

Add '6' to each side of the equation.
-6 + 6 + 12i = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 12i = 0 + 6
12i = 0 + 6

Combine like terms: 0 + 6 = 6
12i = 6

Divide each side by '12'.
i = 0.5

Simplifying
i = 0.5