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

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

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

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

Remove parenthesis around (3 + 5n)
3 + 5n + -1(n + 1) = 5

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

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

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

Combine like terms: 5n + -1n = 4n
2 + 4n = 5

Solving
2 + 4n = 5

Solving for variable 'n'.

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

Add '-2' to each side of the equation.
2 + -2 + 4n = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 4n = 5 + -2
4n = 5 + -2

Combine like terms: 5 + -2 = 3
4n = 3

Divide each side by '4'.
n = 0.75

Simplifying
n = 0.75