2n+6=4(n-2)

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

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

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

Reorder the terms:
6 + 2n = 4(-2 + n)
6 + 2n = (-2 * 4 + n * 4)
6 + 2n = (-8 + 4n)

Solving
6 + 2n = -8 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
6 + 2n + -4n = -8 + 4n + -4n

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

Combine like terms: 4n + -4n = 0
6 + -2n = -8 + 0
6 + -2n = -8

Add '-6' to each side of the equation.
6 + -6 + -2n = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -2n = -8 + -6
-2n = -8 + -6

Combine like terms: -8 + -6 = -14
-2n = -14

Divide each side by '-2'.
n = 7

Simplifying
n = 7