2(2n+6)=4(3n+3)

Solution for 2(2n+6)=4(3n+3) equation:

Simplifying
2(2n + 6) = 4(3n + 3)

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

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

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

Combine like terms: 12 + -12 = 0
0 + 4n = 12 + -12 + 12n
4n = 12 + -12 + 12n

Combine like terms: 12 + -12 = 0
4n = 0 + 12n
4n = 12n

Solving
4n = 12n

Solving for variable 'n'.

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

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

Combine like terms: 4n + -12n = -8n
-8n = 12n + -12n

Combine like terms: 12n + -12n = 0
-8n = 0

Divide each side by '-8'.
n = 0

Simplifying
n = 0