(6-1j)-(1-2j)=

Solution for (6-1j)-(1-2j)= equation:

Simplifying
(6 + -1j) + -1(1 + -2j) = 0

Remove parenthesis around (6 + -1j)
6 + -1j + -1(1 + -2j) = 0
6 + -1j + (1 * -1 + -2j * -1) = 0
6 + -1j + (-1 + 2j) = 0

Reorder the terms:
6 + -1 + -1j + 2j = 0

Combine like terms: 6 + -1 = 5
5 + -1j + 2j = 0

Combine like terms: -1j + 2j = 1j
5 + 1j = 0

Solving
5 + 1j = 0

Solving for variable 'j'.

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

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

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

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

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

Simplifying
j = -5