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

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

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

Reorder the terms:
2(4 + n) = 3(n + -2)
(4 * 2 + n * 2) = 3(n + -2)
(8 + 2n) = 3(n + -2)

Reorder the terms:
8 + 2n = 3(-2 + n)
8 + 2n = (-2 * 3 + n * 3)
8 + 2n = (-6 + 3n)

Solving
8 + 2n = -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.
8 + 2n + -3n = -6 + 3n + -3n

Combine like terms: 2n + -3n = -1n
8 + -1n = -6 + 3n + -3n

Combine like terms: 3n + -3n = 0
8 + -1n = -6 + 0
8 + -1n = -6

Add '-8' to each side of the equation.
8 + -8 + -1n = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = -6 + -8
-1n = -6 + -8

Combine like terms: -6 + -8 = -14
-1n = -14

Divide each side by '-1'.
n = 14

Simplifying
n = 14