2(3+5j)=(2j-3)

Solution for 2(3+5j)=(2j-3) equation:

Simplifying
2(3 + 5j) = (2j + -3)
(3 * 2 + 5j * 2) = (2j + -3)
(6 + 10j) = (2j + -3)

Reorder the terms:
6 + 10j = (-3 + 2j)

Remove parenthesis around (-3 + 2j)
6 + 10j = -3 + 2j

Solving
6 + 10j = -3 + 2j

Solving for variable 'j'.

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

Add '-2j' to each side of the equation.
6 + 10j + -2j = -3 + 2j + -2j

Combine like terms: 10j + -2j = 8j
6 + 8j = -3 + 2j + -2j

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

Add '-6' to each side of the equation.
6 + -6 + 8j = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 8j = -3 + -6
8j = -3 + -6

Combine like terms: -3 + -6 = -9
8j = -9

Divide each side by '8'.
j = -1.125

Simplifying
j = -1.125