(-6+8i)-(8-2i)=

Solution for (-6+8i)-(8-2i)= equation:

Simplifying
(-6 + 8i) + -1(8 + -2i) = 0

Remove parenthesis around (-6 + 8i)
-6 + 8i + -1(8 + -2i) = 0
-6 + 8i + (8 * -1 + -2i * -1) = 0
-6 + 8i + (-8 + 2i) = 0

Reorder the terms:
-6 + -8 + 8i + 2i = 0

Combine like terms: -6 + -8 = -14
-14 + 8i + 2i = 0

Combine like terms: 8i + 2i = 10i
-14 + 10i = 0

Solving
-14 + 10i = 0

Solving for variable 'i'.

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

Add '14' to each side of the equation.
-14 + 14 + 10i = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 10i = 0 + 14
10i = 0 + 14

Combine like terms: 0 + 14 = 14
10i = 14

Divide each side by '10'.
i = 1.4

Simplifying
i = 1.4