(x-(3+i))=0

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

Simplifying
(x + -1(3 + i)) = 0
(x + (3 * -1 + i * -1)) = 0
(x + (-3 + -1i)) = 0

Reorder the terms:
(-3 + -1i + x) = 0

Remove parenthesis around (-3 + -1i + x)
-3 + -1i + x = 0

Solving
-3 + -1i + 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 + -1i + 3 + x = 0 + 3

Reorder the terms:
-3 + 3 + -1i + x = 0 + 3

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

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

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

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

Divide each side by '-1'.
i = -3 + x

Simplifying
i = -3 + x