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

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

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

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

Reorder the terms:
12 + 2j = 3 + j + 2j

Combine like terms: j + 2j = 3j
12 + 2j = 3 + 3j

Solving
12 + 2j = 3 + 3j

Solving for variable 'j'.

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

Add '-3j' to each side of the equation.
12 + 2j + -3j = 3 + 3j + -3j

Combine like terms: 2j + -3j = -1j
12 + -1j = 3 + 3j + -3j

Combine like terms: 3j + -3j = 0
12 + -1j = 3 + 0
12 + -1j = 3

Add '-12' to each side of the equation.
12 + -12 + -1j = 3 + -12

Combine like terms: 12 + -12 = 0
0 + -1j = 3 + -12
-1j = 3 + -12

Combine like terms: 3 + -12 = -9
-1j = -9

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

Simplifying
j = 9