10n+22-12n=42

Solution for 10n+22-12n=42 equation:

Simplifying
10n + 22 + -12n = 42

Reorder the terms:
22 + 10n + -12n = 42

Combine like terms: 10n + -12n = -2n
22 + -2n = 42

Solving
22 + -2n = 42

Solving for variable 'n'.

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

Add '-22' to each side of the equation.
22 + -22 + -2n = 42 + -22

Combine like terms: 22 + -22 = 0
0 + -2n = 42 + -22
-2n = 42 + -22

Combine like terms: 42 + -22 = 20
-2n = 20

Divide each side by '-2'.
n = -10

Simplifying
n = -10