3n+2(n-3)=2+n

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

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

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

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

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

Solving
-6 + 5n = 2 + n

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.
-6 + 5n + -1n = 2 + n + -1n

Combine like terms: 5n + -1n = 4n
-6 + 4n = 2 + n + -1n

Combine like terms: n + -1n = 0
-6 + 4n = 2 + 0
-6 + 4n = 2

Add '6' to each side of the equation.
-6 + 6 + 4n = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 4n = 2 + 6
4n = 2 + 6

Combine like terms: 2 + 6 = 8
4n = 8

Divide each side by '4'.
n = 2

Simplifying
n = 2