2n+3(1+2n)=19

Solution for 2n+3(1+2n)=19 equation:

Simplifying
2n + 3(1 + 2n) = 19
2n + (1 * 3 + 2n * 3) = 19
2n + (3 + 6n) = 19

Reorder the terms:
3 + 2n + 6n = 19

Combine like terms: 2n + 6n = 8n
3 + 8n = 19

Solving
3 + 8n = 19

Solving for variable 'n'.

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

Add '-3' to each side of the equation.
3 + -3 + 8n = 19 + -3

Combine like terms: 3 + -3 = 0
0 + 8n = 19 + -3
8n = 19 + -3

Combine like terms: 19 + -3 = 16
8n = 16

Divide each side by '8'.
n = 2

Simplifying
n = 2