2n+3n-3n-2n+2n+1=19

Solution for 2n+3n-3n-2n+2n+1=19 equation:

Simplifying
2n + 3n + -3n + -2n + 2n + 1 = 19

Reorder the terms:
1 + 2n + 3n + -3n + -2n + 2n = 19

Combine like terms: 2n + 3n = 5n
1 + 5n + -3n + -2n + 2n = 19

Combine like terms: 5n + -3n = 2n
1 + 2n + -2n + 2n = 19

Combine like terms: 2n + -2n = 0
1 + 0 + 2n = 19
1 + 2n = 19

Solving
1 + 2n = 19

Solving for variable 'n'.

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

Add '-1' to each side of the equation.
1 + -1 + 2n = 19 + -1

Combine like terms: 1 + -1 = 0
0 + 2n = 19 + -1
2n = 19 + -1

Combine like terms: 19 + -1 = 18
2n = 18

Divide each side by '2'.
n = 9

Simplifying
n = 9