3(n+2)=2(n+8)

Solution for 3(n+2)=2(n+8) equation:

Simplifying
3(n + 2) = 2(n + 8)

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

Reorder the terms:
6 + 3n = 2(8 + n)
6 + 3n = (8 * 2 + n * 2)
6 + 3n = (16 + 2n)

Solving
6 + 3n = 16 + 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.
6 + 3n + -2n = 16 + 2n + -2n

Combine like terms: 3n + -2n = 1n
6 + 1n = 16 + 2n + -2n

Combine like terms: 2n + -2n = 0
6 + 1n = 16 + 0
6 + 1n = 16

Add '-6' to each side of the equation.
6 + -6 + 1n = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 1n = 16 + -6
1n = 16 + -6

Combine like terms: 16 + -6 = 10
1n = 10

Divide each side by '1'.
n = 10

Simplifying
n = 10