(6+7i)-(2+3i)=

Solution for (6+7i)-(2+3i)= equation:

Simplifying
(6 + 7i) + -1(2 + 3i) = 0

Remove parenthesis around (6 + 7i)
6 + 7i + -1(2 + 3i) = 0
6 + 7i + (2 * -1 + 3i * -1) = 0
6 + 7i + (-2 + -3i) = 0

Reorder the terms:
6 + -2 + 7i + -3i = 0

Combine like terms: 6 + -2 = 4
4 + 7i + -3i = 0

Combine like terms: 7i + -3i = 4i
4 + 4i = 0

Solving
4 + 4i = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + -4 + 4i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 4i = 0 + -4
4i = 0 + -4

Combine like terms: 0 + -4 = -4
4i = -4

Divide each side by '4'.
i = -1

Simplifying
i = -1