3(5j+2)=2(3j-7)

Solution for 3(5j+2)=2(3j-7) equation:

Simplifying
3(5j + 2) = 2(3j + -7)

Reorder the terms:
3(2 + 5j) = 2(3j + -7)
(2 * 3 + 5j * 3) = 2(3j + -7)
(6 + 15j) = 2(3j + -7)

Reorder the terms:
6 + 15j = 2(-7 + 3j)
6 + 15j = (-7 * 2 + 3j * 2)
6 + 15j = (-14 + 6j)

Solving
6 + 15j = -14 + 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 = -14 + 6j + -6j

Combine like terms: 15j + -6j = 9j
6 + 9j = -14 + 6j + -6j

Combine like terms: 6j + -6j = 0
6 + 9j = -14 + 0
6 + 9j = -14

Add '-6' to each side of the equation.
6 + -6 + 9j = -14 + -6

Combine like terms: 6 + -6 = 0
0 + 9j = -14 + -6
9j = -14 + -6

Combine like terms: -14 + -6 = -20
9j = -20

Divide each side by '9'.
j = -2.222222222

Simplifying
j = -2.222222222