2j+6=j-3

Solution for 2j+6=j-3 equation:

Simplifying
2j + 6 = j + -3

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

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

Solving
6 + 2j = -3 + j

Solving for variable 'j'.

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

Add '-1j' to each side of the equation.
6 + 2j + -1j = -3 + j + -1j

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

Combine like terms: j + -1j = 0
6 + 1j = -3 + 0
6 + 1j = -3

Add '-6' to each side of the equation.
6 + -6 + 1j = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 1j = -3 + -6
1j = -3 + -6

Combine like terms: -3 + -6 = -9
1j = -9

Divide each side by '1'.
j = -9

Simplifying
j = -9