4(n-6)-(3-2n)=5n

Solution for 4(n-6)-(3-2n)=5n equation:

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

Reorder the terms:
4(-6 + n) + -1(3 + -2n) = 5n
(-6 * 4 + n * 4) + -1(3 + -2n) = 5n
(-24 + 4n) + -1(3 + -2n) = 5n
-24 + 4n + (3 * -1 + -2n * -1) = 5n
-24 + 4n + (-3 + 2n) = 5n

Reorder the terms:
-24 + -3 + 4n + 2n = 5n

Combine like terms: -24 + -3 = -27
-27 + 4n + 2n = 5n

Combine like terms: 4n + 2n = 6n
-27 + 6n = 5n

Solving
-27 + 6n = 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-27 + 6n + -5n = 5n + -5n

Combine like terms: 6n + -5n = 1n
-27 + 1n = 5n + -5n

Combine like terms: 5n + -5n = 0
-27 + 1n = 0

Add '27' to each side of the equation.
-27 + 27 + 1n = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 1n = 0 + 27
1n = 0 + 27

Combine like terms: 0 + 27 = 27
1n = 27

Divide each side by '1'.
n = 27

Simplifying
n = 27