2(n-3)+3n=14

Solution for 2(n-3)+3n=14 equation:

Simplifying
2(n + -3) + 3n = 14

Reorder the terms:
2(-3 + n) + 3n = 14
(-3 * 2 + n * 2) + 3n = 14
(-6 + 2n) + 3n = 14

Combine like terms: 2n + 3n = 5n
-6 + 5n = 14

Solving
-6 + 5n = 14

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + 5n = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 5n = 14 + 6
5n = 14 + 6

Combine like terms: 14 + 6 = 20
5n = 20

Divide each side by '5'.
n = 4

Simplifying
n = 4