8(2n-4)=(2n+4)+6

Solution for 8(2n-4)=(2n+4)+6 equation:

Simplifying
8(2n + -4) = (2n + 4) + 6

Reorder the terms:
8(-4 + 2n) = (2n + 4) + 6
(-4 * 8 + 2n * 8) = (2n + 4) + 6
(-32 + 16n) = (2n + 4) + 6

Reorder the terms:
-32 + 16n = (4 + 2n) + 6

Remove parenthesis around (4 + 2n)
-32 + 16n = 4 + 2n + 6

Reorder the terms:
-32 + 16n = 4 + 6 + 2n

Combine like terms: 4 + 6 = 10
-32 + 16n = 10 + 2n

Solving
-32 + 16n = 10 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-32 + 16n + -2n = 10 + 2n + -2n

Combine like terms: 16n + -2n = 14n
-32 + 14n = 10 + 2n + -2n

Combine like terms: 2n + -2n = 0
-32 + 14n = 10 + 0
-32 + 14n = 10

Add '32' to each side of the equation.
-32 + 32 + 14n = 10 + 32

Combine like terms: -32 + 32 = 0
0 + 14n = 10 + 32
14n = 10 + 32

Combine like terms: 10 + 32 = 42
14n = 42

Divide each side by '14'.
n = 3

Simplifying
n = 3