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

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

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

Reorder the terms:
6 + -4n = 5n + -3(3 + 2n)
6 + -4n = 5n + (3 * -3 + 2n * -3)
6 + -4n = 5n + (-9 + -6n)

Reorder the terms:
6 + -4n = -9 + 5n + -6n

Combine like terms: 5n + -6n = -1n
6 + -4n = -9 + -1n

Solving
6 + -4n = -9 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
6 + -4n + n = -9 + -1n + n

Combine like terms: -4n + n = -3n
6 + -3n = -9 + -1n + n

Combine like terms: -1n + n = 0
6 + -3n = -9 + 0
6 + -3n = -9

Add '-6' to each side of the equation.
6 + -6 + -3n = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -3n = -9 + -6
-3n = -9 + -6

Combine like terms: -9 + -6 = -15
-3n = -15

Divide each side by '-3'.
n = 5

Simplifying
n = 5