2(2n-3)=6+n

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

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

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

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

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

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

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

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

Combine like terms: 6 + 6 = 12
3n = 12

Divide each side by '3'.
n = 4

Simplifying
n = 4