(3+5i)-(8-2i)=

Solution for (3+5i)-(8-2i)= equation:

Simplifying
(3 + 5i) + -1(8 + -2i) = 0

Remove parenthesis around (3 + 5i)
3 + 5i + -1(8 + -2i) = 0
3 + 5i + (8 * -1 + -2i * -1) = 0
3 + 5i + (-8 + 2i) = 0

Reorder the terms:
3 + -8 + 5i + 2i = 0

Combine like terms: 3 + -8 = -5
-5 + 5i + 2i = 0

Combine like terms: 5i + 2i = 7i
-5 + 7i = 0

Solving
-5 + 7i = 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 + 7i = 0 + 5

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

Combine like terms: 0 + 5 = 5
7i = 5

Divide each side by '7'.
i = 0.7142857143

Simplifying
i = 0.7142857143