8n-42=5n

Solution for 8n-42=5n equation:

Simplifying
8n + -42 = 5n

Reorder the terms:
-42 + 8n = 5n

Solving
-42 + 8n = 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.
-42 + 8n + -5n = 5n + -5n

Combine like terms: 8n + -5n = 3n
-42 + 3n = 5n + -5n

Combine like terms: 5n + -5n = 0
-42 + 3n = 0

Add '42' to each side of the equation.
-42 + 42 + 3n = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 3n = 0 + 42
3n = 0 + 42

Combine like terms: 0 + 42 = 42
3n = 42

Divide each side by '3'.
n = 14

Simplifying
n = 14