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

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

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

Reorder the terms:
3(-5 + n) + -1(6 + -2n) = 4n
(-5 * 3 + n * 3) + -1(6 + -2n) = 4n
(-15 + 3n) + -1(6 + -2n) = 4n
-15 + 3n + (6 * -1 + -2n * -1) = 4n
-15 + 3n + (-6 + 2n) = 4n

Reorder the terms:
-15 + -6 + 3n + 2n = 4n

Combine like terms: -15 + -6 = -21
-21 + 3n + 2n = 4n

Combine like terms: 3n + 2n = 5n
-21 + 5n = 4n

Solving
-21 + 5n = 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-21 + 5n + -4n = 4n + -4n

Combine like terms: 5n + -4n = 1n
-21 + 1n = 4n + -4n

Combine like terms: 4n + -4n = 0
-21 + 1n = 0

Add '21' to each side of the equation.
-21 + 21 + 1n = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 1n = 0 + 21
1n = 0 + 21

Combine like terms: 0 + 21 = 21
1n = 21

Divide each side by '1'.
n = 21

Simplifying
n = 21