2n+11=5n-2+n+8

Solution for 2n+11=5n-2+n+8 equation:

Simplifying
2n + 11 = 5n + -2 + n + 8

Reorder the terms:
11 + 2n = 5n + -2 + n + 8

Reorder the terms:
11 + 2n = -2 + 8 + 5n + n

Combine like terms: -2 + 8 = 6
11 + 2n = 6 + 5n + n

Combine like terms: 5n + n = 6n
11 + 2n = 6 + 6n

Solving
11 + 2n = 6 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
11 + 2n + -6n = 6 + 6n + -6n

Combine like terms: 2n + -6n = -4n
11 + -4n = 6 + 6n + -6n

Combine like terms: 6n + -6n = 0
11 + -4n = 6 + 0
11 + -4n = 6

Add '-11' to each side of the equation.
11 + -11 + -4n = 6 + -11

Combine like terms: 11 + -11 = 0
0 + -4n = 6 + -11
-4n = 6 + -11

Combine like terms: 6 + -11 = -5
-4n = -5

Divide each side by '-4'.
n = 1.25

Simplifying
n = 1.25