2(2-3n)=[5n-(4-n)]

Solution for 2(2-3n)=[5n-(4-n)] equation:

Simplifying
2(2 + -3n) = [5n + -1(4 + -1n)]
(2 * 2 + -3n * 2) = [5n + -1(4 + -1n)]
(4 + -6n) = [5n + -1(4 + -1n)]
4 + -6n = [5n + (4 * -1 + -1n * -1)]
4 + -6n = [5n + (-4 + 1n)]

Reorder the terms:
4 + -6n = [-4 + 5n + 1n]

Combine like terms: 5n + 1n = 6n
4 + -6n = [-4 + 6n]

Remove brackets around [-4 + 6n]
4 + -6n = -4 + 6n

Solving
4 + -6n = -4 + 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.
4 + -6n + -6n = -4 + 6n + -6n

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

Combine like terms: 6n + -6n = 0
4 + -12n = -4 + 0
4 + -12n = -4

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

Combine like terms: 4 + -4 = 0
0 + -12n = -4 + -4
-12n = -4 + -4

Combine like terms: -4 + -4 = -8
-12n = -8

Divide each side by '-12'.
n = 0.6666666667

Simplifying
n = 0.6666666667