3(5j+2)=4(3j-6)

Solution for 3(5j+2)=4(3j-6) equation:

Simplifying
3(5j + 2) = 4(3j + -6)

Reorder the terms:
3(2 + 5j) = 4(3j + -6)
(2 * 3 + 5j * 3) = 4(3j + -6)
(6 + 15j) = 4(3j + -6)

Reorder the terms:
6 + 15j = 4(-6 + 3j)
6 + 15j = (-6 * 4 + 3j * 4)
6 + 15j = (-24 + 12j)

Solving
6 + 15j = -24 + 12j

Solving for variable 'j'.

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

Add '-12j' to each side of the equation.
6 + 15j + -12j = -24 + 12j + -12j

Combine like terms: 15j + -12j = 3j
6 + 3j = -24 + 12j + -12j

Combine like terms: 12j + -12j = 0
6 + 3j = -24 + 0
6 + 3j = -24

Add '-6' to each side of the equation.
6 + -6 + 3j = -24 + -6

Combine like terms: 6 + -6 = 0
0 + 3j = -24 + -6
3j = -24 + -6

Combine like terms: -24 + -6 = -30
3j = -30

Divide each side by '3'.
j = -10

Simplifying
j = -10