(5-3i)-(6-4i)=

Solution for (5-3i)-(6-4i)= equation:

Simplifying
(5 + -3i) + -1(6 + -4i) = 0

Remove parenthesis around (5 + -3i)
5 + -3i + -1(6 + -4i) = 0
5 + -3i + (6 * -1 + -4i * -1) = 0
5 + -3i + (-6 + 4i) = 0

Reorder the terms:
5 + -6 + -3i + 4i = 0

Combine like terms: 5 + -6 = -1
-1 + -3i + 4i = 0

Combine like terms: -3i + 4i = 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