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

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

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

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

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

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

Combine like terms: -3n + 6n = 3n
2 + 3n = 2n

Solving
2 + 3n = 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
2 + 3n + -2n = 2n + -2n

Combine like terms: 3n + -2n = 1n
2 + 1n = 2n + -2n

Combine like terms: 2n + -2n = 0
2 + 1n = 0

Add '-2' to each side of the equation.
2 + -2 + 1n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1n = 0 + -2
1n = 0 + -2

Combine like terms: 0 + -2 = -2
1n = -2

Divide each side by '1'.
n = -2

Simplifying
n = -2