(6-8i)-(5-7i)=

Solution for (6-8i)-(5-7i)= equation:

Simplifying
(6 + -8i) + -1(5 + -7i) = 0

Remove parenthesis around (6 + -8i)
6 + -8i + -1(5 + -7i) = 0
6 + -8i + (5 * -1 + -7i * -1) = 0
6 + -8i + (-5 + 7i) = 0

Reorder the terms:
6 + -5 + -8i + 7i = 0

Combine like terms: 6 + -5 = 1
1 + -8i + 7i = 0

Combine like terms: -8i + 7i = -1i
1 + -1i = 0

Solving
1 + -1i = 0

Solving for variable 'i'.

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

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

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

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

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

Simplifying
i = 1