(x+(3+5i))=0

Solution for (x+(3+5i))=0 equation:

Simplifying
(x + (3 + 5i)) = 0

Remove parenthesis around (3 + 5i)
(x + 3 + 5i) = 0

Reorder the terms:
(3 + 5i + x) = 0

Remove parenthesis around (3 + 5i + x)
3 + 5i + x = 0

Solving
3 + 5i + x = 0

Solving for variable 'i'.

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

Add '-3' to each side of the equation.
3 + 5i + -3 + x = 0 + -3

Reorder the terms:
3 + -3 + 5i + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5i + x = 0 + -3
5i + x = 0 + -3

Combine like terms: 0 + -3 = -3
5i + x = -3

Add '-1x' to each side of the equation.
5i + x + -1x = -3 + -1x

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

Divide each side by '5'.
i = -0.6 + -0.2x

Simplifying
i = -0.6 + -0.2x