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

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

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

Reorder the terms:
2(-5 + n) + -1(6 + -3n) = 4n
(-5 * 2 + n * 2) + -1(6 + -3n) = 4n
(-10 + 2n) + -1(6 + -3n) = 4n
-10 + 2n + (6 * -1 + -3n * -1) = 4n
-10 + 2n + (-6 + 3n) = 4n

Reorder the terms:
-10 + -6 + 2n + 3n = 4n

Combine like terms: -10 + -6 = -16
-16 + 2n + 3n = 4n

Combine like terms: 2n + 3n = 5n
-16 + 5n = 4n

Solving
-16 + 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.
-16 + 5n + -4n = 4n + -4n

Combine like terms: 5n + -4n = 1n
-16 + 1n = 4n + -4n

Combine like terms: 4n + -4n = 0
-16 + 1n = 0

Add '16' to each side of the equation.
-16 + 16 + 1n = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 1n = 0 + 16
1n = 0 + 16

Combine like terms: 0 + 16 = 16
1n = 16

Divide each side by '1'.
n = 16

Simplifying
n = 16