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

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

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

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

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

Solving
6 + 15j = 12 + 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 + 15j + -2j = 12 + 2j + -2j

Combine like terms: 15j + -2j = 13j
6 + 13j = 12 + 2j + -2j

Combine like terms: 2j + -2j = 0
6 + 13j = 12 + 0
6 + 13j = 12

Add '-6' to each side of the equation.
6 + -6 + 13j = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 13j = 12 + -6
13j = 12 + -6

Combine like terms: 12 + -6 = 6
13j = 6

Divide each side by '13'.
j = 0.4615384615

Simplifying
j = 0.4615384615