3(n+4)=5n

Solution for 3(n+4)=5n equation:

Simplifying
3(n + 4) = 5n

Reorder the terms:
3(4 + n) = 5n
(4 * 3 + n * 3) = 5n
(12 + 3n) = 5n

Solving
12 + 3n = 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.
12 + 3n + -5n = 5n + -5n

Combine like terms: 3n + -5n = -2n
12 + -2n = 5n + -5n

Combine like terms: 5n + -5n = 0
12 + -2n = 0

Add '-12' to each side of the equation.
12 + -12 + -2n = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -2n = 0 + -12
-2n = 0 + -12

Combine like terms: 0 + -12 = -12
-2n = -12

Divide each side by '-2'.
n = 6

Simplifying
n = 6