(6-4i)-(1-3i)=

Solution for (6-4i)-(1-3i)= equation:

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

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

Reorder the terms:
6 + -1 + -4i + 3i = 0

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

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

Solving
5 + -1i = 0

Solving for variable 'i'.

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

Add '-5' to each side of the equation.
5 + -5 + -1i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1i = 0 + -5
-1i = 0 + -5

Combine like terms: 0 + -5 = -5
-1i = -5

Divide each side by '-1'.
i = 5

Simplifying
i = 5