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

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

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

Reorder the terms:
2(-6 + 2n) = 3(2 + n)
(-6 * 2 + 2n * 2) = 3(2 + n)
(-12 + 4n) = 3(2 + n)
-12 + 4n = (2 * 3 + n * 3)
-12 + 4n = (6 + 3n)

Solving
-12 + 4n = 6 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-12 + 4n + -3n = 6 + 3n + -3n

Combine like terms: 4n + -3n = 1n
-12 + 1n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
-12 + 1n = 6 + 0
-12 + 1n = 6

Add '12' to each side of the equation.
-12 + 12 + 1n = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 1n = 6 + 12
1n = 6 + 12

Combine like terms: 6 + 12 = 18
1n = 18

Divide each side by '1'.
n = 18

Simplifying
n = 18