2(4j+3)=3(1-j)

Solution for 2(4j+3)=3(1-j) equation:

Simplifying
2(4j + 3) = 3(1 + -1j)

Reorder the terms:
2(3 + 4j) = 3(1 + -1j)
(3 * 2 + 4j * 2) = 3(1 + -1j)
(6 + 8j) = 3(1 + -1j)
6 + 8j = (1 * 3 + -1j * 3)
6 + 8j = (3 + -3j)

Solving
6 + 8j = 3 + -3j

Solving for variable 'j'.

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

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

Combine like terms: 8j + 3j = 11j
6 + 11j = 3 + -3j + 3j

Combine like terms: -3j + 3j = 0
6 + 11j = 3 + 0
6 + 11j = 3

Add '-6' to each side of the equation.
6 + -6 + 11j = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 11j = 3 + -6
11j = 3 + -6

Combine like terms: 3 + -6 = -3
11j = -3

Divide each side by '11'.
j = -0.2727272727

Simplifying
j = -0.2727272727