3(n+12)=2(n+24)

Solution for 3(n+12)=2(n+24) equation:

Simplifying
3(n + 12) = 2(n + 24)

Reorder the terms:
3(12 + n) = 2(n + 24)
(12 * 3 + n * 3) = 2(n + 24)
(36 + 3n) = 2(n + 24)

Reorder the terms:
36 + 3n = 2(24 + n)
36 + 3n = (24 * 2 + n * 2)
36 + 3n = (48 + 2n)

Solving
36 + 3n = 48 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
36 + 3n + -2n = 48 + 2n + -2n

Combine like terms: 3n + -2n = 1n
36 + 1n = 48 + 2n + -2n

Combine like terms: 2n + -2n = 0
36 + 1n = 48 + 0
36 + 1n = 48

Add '-36' to each side of the equation.
36 + -36 + 1n = 48 + -36

Combine like terms: 36 + -36 = 0
0 + 1n = 48 + -36
1n = 48 + -36

Combine like terms: 48 + -36 = 12
1n = 12

Divide each side by '1'.
n = 12

Simplifying
n = 12