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

Solution for 2(n+3)=5(n-1) equation:

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

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

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

Solving
6 + 2n = -5 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
6 + 2n + -5n = -5 + 5n + -5n

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

Combine like terms: 5n + -5n = 0
6 + -3n = -5 + 0
6 + -3n = -5

Add '-6' to each side of the equation.
6 + -6 + -3n = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -3n = -5 + -6
-3n = -5 + -6

Combine like terms: -5 + -6 = -11
-3n = -11

Divide each side by '-3'.
n = 3.666666667

Simplifying
n = 3.666666667