2(n-4)-12=4(2n+1)

Solution for 2(n-4)-12=4(2n+1) equation:

Simplifying
2(n + -4) + -12 = 4(2n + 1)

Reorder the terms:
2(-4 + n) + -12 = 4(2n + 1)
(-4 * 2 + n * 2) + -12 = 4(2n + 1)
(-8 + 2n) + -12 = 4(2n + 1)

Reorder the terms:
-8 + -12 + 2n = 4(2n + 1)

Combine like terms: -8 + -12 = -20
-20 + 2n = 4(2n + 1)

Reorder the terms:
-20 + 2n = 4(1 + 2n)
-20 + 2n = (1 * 4 + 2n * 4)
-20 + 2n = (4 + 8n)

Solving
-20 + 2n = 4 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-20 + 2n + -8n = 4 + 8n + -8n

Combine like terms: 2n + -8n = -6n
-20 + -6n = 4 + 8n + -8n

Combine like terms: 8n + -8n = 0
-20 + -6n = 4 + 0
-20 + -6n = 4

Add '20' to each side of the equation.
-20 + 20 + -6n = 4 + 20

Combine like terms: -20 + 20 = 0
0 + -6n = 4 + 20
-6n = 4 + 20

Combine like terms: 4 + 20 = 24
-6n = 24

Divide each side by '-6'.
n = -4

Simplifying
n = -4