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

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

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

Reorder the terms:
2(-72 + n) = 5(n + 3n)
(-72 * 2 + n * 2) = 5(n + 3n)
(-144 + 2n) = 5(n + 3n)

Combine like terms: n + 3n = 4n
-144 + 2n = 5(4n)

Remove parenthesis around (4n)
-144 + 2n = 5 * 4n

Multiply 5 * 4
-144 + 2n = 20n

Solving
-144 + 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.
-144 + 2n + -20n = 20n + -20n

Combine like terms: 2n + -20n = -18n
-144 + -18n = 20n + -20n

Combine like terms: 20n + -20n = 0
-144 + -18n = 0

Add '144' to each side of the equation.
-144 + 144 + -18n = 0 + 144

Combine like terms: -144 + 144 = 0
0 + -18n = 0 + 144
-18n = 0 + 144

Combine like terms: 0 + 144 = 144
-18n = 144

Divide each side by '-18'.
n = -8

Simplifying
n = -8