2(n+4)-(3n+1)=5

Solution for 2(n+4)-(3n+1)=5 equation:

Simplifying
2(n + 4) + -1(3n + 1) = 5

Reorder the terms:
2(4 + n) + -1(3n + 1) = 5
(4 * 2 + n * 2) + -1(3n + 1) = 5
(8 + 2n) + -1(3n + 1) = 5

Reorder the terms:
8 + 2n + -1(1 + 3n) = 5
8 + 2n + (1 * -1 + 3n * -1) = 5
8 + 2n + (-1 + -3n) = 5

Reorder the terms:
8 + -1 + 2n + -3n = 5

Combine like terms: 8 + -1 = 7
7 + 2n + -3n = 5

Combine like terms: 2n + -3n = -1n
7 + -1n = 5

Solving
7 + -1n = 5

Solving for variable 'n'.

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

Add '-7' to each side of the equation.
7 + -7 + -1n = 5 + -7

Combine like terms: 7 + -7 = 0
0 + -1n = 5 + -7
-1n = 5 + -7

Combine like terms: 5 + -7 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2