3(j+2)=2j-4

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

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

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

Reorder the terms:
6 + 3j = -4 + 2j

Solving
6 + 3j = -4 + 2j

Solving for variable 'j'.

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

Add '-2j' to each side of the equation.
6 + 3j + -2j = -4 + 2j + -2j

Combine like terms: 3j + -2j = 1j
6 + 1j = -4 + 2j + -2j

Combine like terms: 2j + -2j = 0
6 + 1j = -4 + 0
6 + 1j = -4

Add '-6' to each side of the equation.
6 + -6 + 1j = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 1j = -4 + -6
1j = -4 + -6

Combine like terms: -4 + -6 = -10
1j = -10

Divide each side by '1'.
j = -10

Simplifying
j = -10