3(n+2)=5(n-10)

Solution for 3(n+2)=5(n-10) equation:

Simplifying
3(n + 2) = 5(n + -10)

Reorder the terms:
3(2 + n) = 5(n + -10)
(2 * 3 + n * 3) = 5(n + -10)
(6 + 3n) = 5(n + -10)

Reorder the terms:
6 + 3n = 5(-10 + n)
6 + 3n = (-10 * 5 + n * 5)
6 + 3n = (-50 + 5n)

Solving
6 + 3n = -50 + 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 + 3n + -5n = -50 + 5n + -5n

Combine like terms: 3n + -5n = -2n
6 + -2n = -50 + 5n + -5n

Combine like terms: 5n + -5n = 0
6 + -2n = -50 + 0
6 + -2n = -50

Add '-6' to each side of the equation.
6 + -6 + -2n = -50 + -6

Combine like terms: 6 + -6 = 0
0 + -2n = -50 + -6
-2n = -50 + -6

Combine like terms: -50 + -6 = -56
-2n = -56

Divide each side by '-2'.
n = 28

Simplifying
n = 28