(5+2i)-(6-3c)=

Solution for (5+2i)-(6-3c)= equation:

Simplifying
(5 + 2i) + -1(6 + -3c) = 0

Remove parenthesis around (5 + 2i)
5 + 2i + -1(6 + -3c) = 0
5 + 2i + (6 * -1 + -3c * -1) = 0
5 + 2i + (-6 + 3c) = 0

Reorder the terms:
5 + -6 + 3c + 2i = 0

Combine like terms: 5 + -6 = -1
-1 + 3c + 2i = 0

Solving
-1 + 3c + 2i = 0

Solving for variable 'c'.

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

Add '1' to each side of the equation.
-1 + 3c + 1 + 2i = 0 + 1

Reorder the terms:
-1 + 1 + 3c + 2i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3c + 2i = 0 + 1
3c + 2i = 0 + 1

Combine like terms: 0 + 1 = 1
3c + 2i = 1

Add '-2i' to each side of the equation.
3c + 2i + -2i = 1 + -2i

Combine like terms: 2i + -2i = 0
3c + 0 = 1 + -2i
3c = 1 + -2i

Divide each side by '3'.
c = 0.3333333333 + -0.6666666667i

Simplifying
c = 0.3333333333 + -0.6666666667i