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

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

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

Reorder the terms:
3(-6 + n) + -1(5 + -4n) = 6n
(-6 * 3 + n * 3) + -1(5 + -4n) = 6n
(-18 + 3n) + -1(5 + -4n) = 6n
-18 + 3n + (5 * -1 + -4n * -1) = 6n
-18 + 3n + (-5 + 4n) = 6n

Reorder the terms:
-18 + -5 + 3n + 4n = 6n

Combine like terms: -18 + -5 = -23
-23 + 3n + 4n = 6n

Combine like terms: 3n + 4n = 7n
-23 + 7n = 6n

Solving
-23 + 7n = 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.
-23 + 7n + -6n = 6n + -6n

Combine like terms: 7n + -6n = 1n
-23 + 1n = 6n + -6n

Combine like terms: 6n + -6n = 0
-23 + 1n = 0

Add '23' to each side of the equation.
-23 + 23 + 1n = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 1n = 0 + 23
1n = 0 + 23

Combine like terms: 0 + 23 = 23
1n = 23

Divide each side by '1'.
n = 23

Simplifying
n = 23