5n-(n-2)=42

Solution for 5n-(n-2)=42 equation:

Simplifying
5n + -1(n + -2) = 42

Reorder the terms:
5n + -1(-2 + n) = 42
5n + (-2 * -1 + n * -1) = 42
5n + (2 + -1n) = 42

Reorder the terms:
2 + 5n + -1n = 42

Combine like terms: 5n + -1n = 4n
2 + 4n = 42

Solving
2 + 4n = 42

Solving for variable 'n'.

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

Add '-2' to each side of the equation.
2 + -2 + 4n = 42 + -2

Combine like terms: 2 + -2 = 0
0 + 4n = 42 + -2
4n = 42 + -2

Combine like terms: 42 + -2 = 40
4n = 40

Divide each side by '4'.
n = 10

Simplifying
n = 10