2n+6=41-5n

Solution for 2n+6=41-5n equation:

Simplifying
2n + 6 = 41 + -5n

Reorder the terms:
6 + 2n = 41 + -5n

Solving
6 + 2n = 41 + -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.
6 + 2n + 5n = 41 + -5n + 5n

Combine like terms: 2n + 5n = 7n
6 + 7n = 41 + -5n + 5n

Combine like terms: -5n + 5n = 0
6 + 7n = 41 + 0
6 + 7n = 41

Add '-6' to each side of the equation.
6 + -6 + 7n = 41 + -6

Combine like terms: 6 + -6 = 0
0 + 7n = 41 + -6
7n = 41 + -6

Combine like terms: 41 + -6 = 35
7n = 35

Divide each side by '7'.
n = 5

Simplifying
n = 5