6-3n=5(2-n)

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

Simplifying
6 + -3n = 5(2 + -1n)
6 + -3n = (2 * 5 + -1n * 5)
6 + -3n = (10 + -5n)

Solving
6 + -3n = 10 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
6 + -3n + 5n = 10 + -5n + 5n

Combine like terms: -3n + 5n = 2n
6 + 2n = 10 + -5n + 5n

Combine like terms: -5n + 5n = 0
6 + 2n = 10 + 0
6 + 2n = 10

Add '-6' to each side of the equation.
6 + -6 + 2n = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 2n = 10 + -6
2n = 10 + -6

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

Divide each side by '2'.
n = 2

Simplifying
n = 2