4(3-n)=3(n+2)

Solution for 4(3-n)=3(n+2) equation:

Simplifying
4(3 + -1n) = 3(n + 2)
(3 * 4 + -1n * 4) = 3(n + 2)
(12 + -4n) = 3(n + 2)

Reorder the terms:
12 + -4n = 3(2 + n)
12 + -4n = (2 * 3 + n * 3)
12 + -4n = (6 + 3n)

Solving
12 + -4n = 6 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
12 + -4n + -3n = 6 + 3n + -3n

Combine like terms: -4n + -3n = -7n
12 + -7n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
12 + -7n = 6 + 0
12 + -7n = 6

Add '-12' to each side of the equation.
12 + -12 + -7n = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -7n = 6 + -12
-7n = 6 + -12

Combine like terms: 6 + -12 = -6
-7n = -6

Divide each side by '-7'.
n = 0.8571428571

Simplifying
n = 0.8571428571