(4+2i)+(2-3i)=x

Solution for (4+2i)+(2-3i)=x equation:

Simplifying
(4 + 2i) + (2 + -3i) = x

Remove parenthesis around (4 + 2i)
4 + 2i + (2 + -3i) = x

Remove parenthesis around (2 + -3i)
4 + 2i + 2 + -3i = x

Reorder the terms:
4 + 2 + 2i + -3i = x

Combine like terms: 4 + 2 = 6
6 + 2i + -3i = x

Combine like terms: 2i + -3i = -1i
6 + -1i = x

Solving
6 + -1i = x

Solving for variable 'i'.

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

Add '-6' to each side of the equation.
6 + -6 + -1i = -6 + x

Combine like terms: 6 + -6 = 0
0 + -1i = -6 + x
-1i = -6 + x

Divide each side by '-1'.
i = 6 + -1x

Simplifying
i = 6 + -1x