(2+6i)-(5-8i)=

Solution for (2+6i)-(5-8i)= equation:

Simplifying
(2 + 6i) + -1(5 + -8i) = 0

Remove parenthesis around (2 + 6i)
2 + 6i + -1(5 + -8i) = 0
2 + 6i + (5 * -1 + -8i * -1) = 0
2 + 6i + (-5 + 8i) = 0

Reorder the terms:
2 + -5 + 6i + 8i = 0

Combine like terms: 2 + -5 = -3
-3 + 6i + 8i = 0

Combine like terms: 6i + 8i = 14i
-3 + 14i = 0

Solving
-3 + 14i = 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 + 3 + 14i = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 14i = 0 + 3
14i = 0 + 3

Combine like terms: 0 + 3 = 3
14i = 3

Divide each side by '14'.
i = 0.2142857143

Simplifying
i = 0.2142857143