5n-42=12n

Solution for 5n-42=12n equation:

Simplifying
5n + -42 = 12n

Reorder the terms:
-42 + 5n = 12n

Solving
-42 + 5n = 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
-42 + 5n + -12n = 12n + -12n

Combine like terms: 5n + -12n = -7n
-42 + -7n = 12n + -12n

Combine like terms: 12n + -12n = 0
-42 + -7n = 0

Add '42' to each side of the equation.
-42 + 42 + -7n = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -7n = 0 + 42
-7n = 0 + 42

Combine like terms: 0 + 42 = 42
-7n = 42

Divide each side by '-7'.
n = -6

Simplifying
n = -6