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

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

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

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

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

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

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

Solving
-21 + 5n = 4

Solving for variable 'n'.

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

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

Combine like terms: -21 + 21 = 0
0 + 5n = 4 + 21
5n = 4 + 21

Combine like terms: 4 + 21 = 25
5n = 25

Divide each side by '5'.
n = 5

Simplifying
n = 5