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

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

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

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

Reorder the terms:
-6 + -6 + 2n + 4n = 5n

Combine like terms: -6 + -6 = -12
-12 + 2n + 4n = 5n

Combine like terms: 2n + 4n = 6n
-12 + 6n = 5n

Solving
-12 + 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.
-12 + 6n + -5n = 5n + -5n

Combine like terms: 6n + -5n = 1n
-12 + 1n = 5n + -5n

Combine like terms: 5n + -5n = 0
-12 + 1n = 0

Add '12' to each side of the equation.
-12 + 12 + 1n = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 1n = 0 + 12
1n = 0 + 12

Combine like terms: 0 + 12 = 12
1n = 12

Divide each side by '1'.
n = 12

Simplifying
n = 12