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

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

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

Reorder the terms:
-3(-4 + 2n) + 5n = 3n + (-2n + -6)
(-4 * -3 + 2n * -3) + 5n = 3n + (-2n + -6)
(12 + -6n) + 5n = 3n + (-2n + -6)

Combine like terms: -6n + 5n = -1n
12 + -1n = 3n + (-2n + -6)

Reorder the terms:
12 + -1n = 3n + (-6 + -2n)

Remove parenthesis around (-6 + -2n)
12 + -1n = 3n + -6 + -2n

Reorder the terms:
12 + -1n = -6 + 3n + -2n

Combine like terms: 3n + -2n = 1n
12 + -1n = -6 + 1n

Solving
12 + -1n = -6 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
12 + -1n + -1n = -6 + 1n + -1n

Combine like terms: -1n + -1n = -2n
12 + -2n = -6 + 1n + -1n

Combine like terms: 1n + -1n = 0
12 + -2n = -6 + 0
12 + -2n = -6

Add '-12' to each side of the equation.
12 + -12 + -2n = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -2n = -6 + -12
-2n = -6 + -12

Combine like terms: -6 + -12 = -18
-2n = -18

Divide each side by '-2'.
n = 9

Simplifying
n = 9