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

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

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

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

Solving
6 + -5n = 9 + -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.
6 + -5n + 6n = 9 + -6n + 6n

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

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

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

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

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

Divide each side by '1'.
n = 3

Simplifying
n = 3