2n-72=5(n+3n)

Solution for 2n-72=5(n+3n) equation:

Simplifying
2n + -72 = 5(n + 3n)

Reorder the terms:
-72 + 2n = 5(n + 3n)

Combine like terms: n + 3n = 4n
-72 + 2n = 5(4n)

Remove parenthesis around (4n)
-72 + 2n = 5 * 4n

Multiply 5 * 4
-72 + 2n = 20n

Solving
-72 + 2n = 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
-72 + 2n + -20n = 20n + -20n

Combine like terms: 2n + -20n = -18n
-72 + -18n = 20n + -20n

Combine like terms: 20n + -20n = 0
-72 + -18n = 0

Add '72' to each side of the equation.
-72 + 72 + -18n = 0 + 72

Combine like terms: -72 + 72 = 0
0 + -18n = 0 + 72
-18n = 0 + 72

Combine like terms: 0 + 72 = 72
-18n = 72

Divide each side by '-18'.
n = -4

Simplifying
n = -4