3n^2+5n+6=5n^2+2n+-2n^2+18

Solution for 3n^2+5n+6=5n^2+2n+-2n^2+18 equation:

Simplifying
3n2 + 5n + 6 = 5n2 + 2n + -2n2 + 18

Reorder the terms:
6 + 5n + 3n2 = 5n2 + 2n + -2n2 + 18

Reorder the terms:
6 + 5n + 3n2 = 18 + 2n + 5n2 + -2n2

Combine like terms: 5n2 + -2n2 = 3n2
6 + 5n + 3n2 = 18 + 2n + 3n2

Add '-3n2' to each side of the equation.
6 + 5n + 3n2 + -3n2 = 18 + 2n + 3n2 + -3n2

Combine like terms: 3n2 + -3n2 = 0
6 + 5n + 0 = 18 + 2n + 3n2 + -3n2
6 + 5n = 18 + 2n + 3n2 + -3n2

Combine like terms: 3n2 + -3n2 = 0
6 + 5n = 18 + 2n + 0
6 + 5n = 18 + 2n

Solving
6 + 5n = 18 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
6 + 5n + -2n = 18 + 2n + -2n

Combine like terms: 5n + -2n = 3n
6 + 3n = 18 + 2n + -2n

Combine like terms: 2n + -2n = 0
6 + 3n = 18 + 0
6 + 3n = 18

Add '-6' to each side of the equation.
6 + -6 + 3n = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 3n = 18 + -6
3n = 18 + -6

Combine like terms: 18 + -6 = 12
3n = 12

Divide each side by '3'.
n = 4

Simplifying
n = 4