(6+6i)-(9-7i)=x

Solution for (6+6i)-(9-7i)=x equation:

Simplifying
(6 + 6i) + -1(9 + -7i) = x

Remove parenthesis around (6 + 6i)
6 + 6i + -1(9 + -7i) = x
6 + 6i + (9 * -1 + -7i * -1) = x
6 + 6i + (-9 + 7i) = x

Reorder the terms:
6 + -9 + 6i + 7i = x

Combine like terms: 6 + -9 = -3
-3 + 6i + 7i = x

Combine like terms: 6i + 7i = 13i
-3 + 13i = x

Solving
-3 + 13i = x

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 + 3 + 13i = 3 + x

Combine like terms: -3 + 3 = 0
0 + 13i = 3 + x
13i = 3 + x

Divide each side by '13'.
i = 0.2307692308 + 0.07692307692x

Simplifying
i = 0.2307692308 + 0.07692307692x