4.8(j+3)=1.2(2j-8)

Solution for 4.8(j+3)=1.2(2j-8) equation:

Simplifying
4.8(j + 3) = 1.2(2j + -8)

Reorder the terms:
4.8(3 + j) = 1.2(2j + -8)
(3 * 4.8 + j * 4.8) = 1.2(2j + -8)
(14.4 + 4.8j) = 1.2(2j + -8)

Reorder the terms:
14.4 + 4.8j = 1.2(-8 + 2j)
14.4 + 4.8j = (-8 * 1.2 + 2j * 1.2)
14.4 + 4.8j = (-9.6 + 2.4j)

Solving
14.4 + 4.8j = -9.6 + 2.4j

Solving for variable 'j'.

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

Add '-2.4j' to each side of the equation.
14.4 + 4.8j + -2.4j = -9.6 + 2.4j + -2.4j

Combine like terms: 4.8j + -2.4j = 2.4j
14.4 + 2.4j = -9.6 + 2.4j + -2.4j

Combine like terms: 2.4j + -2.4j = 0.0
14.4 + 2.4j = -9.6 + 0.0
14.4 + 2.4j = -9.6

Add '-14.4' to each side of the equation.
14.4 + -14.4 + 2.4j = -9.6 + -14.4

Combine like terms: 14.4 + -14.4 = 0.0
0.0 + 2.4j = -9.6 + -14.4
2.4j = -9.6 + -14.4

Combine like terms: -9.6 + -14.4 = -24
2.4j = -24

Divide each side by '2.4'.
j = -10

Simplifying
j = -10