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

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

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

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

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

Combine like terms: -6 + -4 = -10
-10 + 2n + 5n = 6n

Combine like terms: 2n + 5n = 7n
-10 + 7n = 6n

Solving
-10 + 7n = 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-10 + 7n + -6n = 6n + -6n

Combine like terms: 7n + -6n = 1n
-10 + 1n = 6n + -6n

Combine like terms: 6n + -6n = 0
-10 + 1n = 0

Add '10' to each side of the equation.
-10 + 10 + 1n = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 1n = 0 + 10
1n = 0 + 10

Combine like terms: 0 + 10 = 10
1n = 10

Divide each side by '1'.
n = 10

Simplifying
n = 10