.5(48N+12)=.2(30+30N)

Solution for .5(48N+12)=.2(30+30N) equation:

Simplifying
0.5(48N + 12) = 0.2(30 + 30N)

Reorder the terms:
0.5(12 + 48N) = 0.2(30 + 30N)
(12 * 0.5 + 48N * 0.5) = 0.2(30 + 30N)
(6 + 24N) = 0.2(30 + 30N)
6 + 24N = (30 * 0.2 + 30N * 0.2)
6 + 24N = (6 + 6N)

Add '-6' to each side of the equation.
6 + -6 + 24N = 6 + -6 + 6N

Combine like terms: 6 + -6 = 0
0 + 24N = 6 + -6 + 6N
24N = 6 + -6 + 6N

Combine like terms: 6 + -6 = 0
24N = 0 + 6N
24N = 6N

Solving
24N = 6N

Solving for variable 'N'.

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

Add '-6N' to each side of the equation.
24N + -6N = 6N + -6N

Combine like terms: 24N + -6N = 18N
18N = 6N + -6N

Combine like terms: 6N + -6N = 0
18N = 0

Divide each side by '18'.
N = 0

Simplifying
N = 0