2(8j+3)=5(3j-1)

Solution for 2(8j+3)=5(3j-1) equation:

Simplifying
2(8j + 3) = 5(3j + -1)

Reorder the terms:
2(3 + 8j) = 5(3j + -1)
(3 * 2 + 8j * 2) = 5(3j + -1)
(6 + 16j) = 5(3j + -1)

Reorder the terms:
6 + 16j = 5(-1 + 3j)
6 + 16j = (-1 * 5 + 3j * 5)
6 + 16j = (-5 + 15j)

Solving
6 + 16j = -5 + 15j

Solving for variable 'j'.

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

Add '-15j' to each side of the equation.
6 + 16j + -15j = -5 + 15j + -15j

Combine like terms: 16j + -15j = 1j
6 + 1j = -5 + 15j + -15j

Combine like terms: 15j + -15j = 0
6 + 1j = -5 + 0
6 + 1j = -5

Add '-6' to each side of the equation.
6 + -6 + 1j = -5 + -6

Combine like terms: 6 + -6 = 0
0 + 1j = -5 + -6
1j = -5 + -6

Combine like terms: -5 + -6 = -11
1j = -11

Divide each side by '1'.
j = -11

Simplifying
j = -11