3(n+2)=2n+5(-n)

Solution for 3(n+2)=2n+5(-n) equation:

Simplifying
3(n + 2) = 2n + 5(-1n)

Reorder the terms:
3(2 + n) = 2n + 5(-1n)
(2 * 3 + n * 3) = 2n + 5(-1n)
(6 + 3n) = 2n + 5(-1n)

Remove parenthesis around (-1n)
6 + 3n = 2n + 5 * -1n

Multiply 5 * -1
6 + 3n = 2n + -5n

Combine like terms: 2n + -5n = -3n
6 + 3n = -3n

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

Combine like terms: 3n + 3n = 6n
6 + 6n = -3n + 3n

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

Add '-6' to each side of the equation.
6 + -6 + 6n = 0 + -6

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

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

Divide each side by '6'.
n = -1

Simplifying
n = -1