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

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

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

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

Reorder the terms:
6 + 15j = 2(-6 + 3j)
6 + 15j = (-6 * 2 + 3j * 2)
6 + 15j = (-12 + 6j)

Solving
6 + 15j = -12 + 6j

Solving for variable 'j'.

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

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

Combine like terms: 15j + -6j = 9j
6 + 9j = -12 + 6j + -6j

Combine like terms: 6j + -6j = 0
6 + 9j = -12 + 0
6 + 9j = -12

Add '-6' to each side of the equation.
6 + -6 + 9j = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 9j = -12 + -6
9j = -12 + -6

Combine like terms: -12 + -6 = -18
9j = -18

Divide each side by '9'.
j = -2

Simplifying
j = -2