3n+12=2n+42

Solution for 3n+12=2n+42 equation:

Simplifying
3n + 12 = 2n + 42

Reorder the terms:
12 + 3n = 2n + 42

Reorder the terms:
12 + 3n = 42 + 2n

Solving
12 + 3n = 42 + 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.
12 + 3n + -2n = 42 + 2n + -2n

Combine like terms: 3n + -2n = 1n
12 + 1n = 42 + 2n + -2n

Combine like terms: 2n + -2n = 0
12 + 1n = 42 + 0
12 + 1n = 42

Add '-12' to each side of the equation.
12 + -12 + 1n = 42 + -12

Combine like terms: 12 + -12 = 0
0 + 1n = 42 + -12
1n = 42 + -12

Combine like terms: 42 + -12 = 30
1n = 30

Divide each side by '1'.
n = 30

Simplifying
n = 30