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

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

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

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

Reorder the terms:
3 + 2 + n + n + 2n = 5(n + 2)

Combine like terms: 3 + 2 = 5
5 + n + n + 2n = 5(n + 2)

Combine like terms: n + n = 2n
5 + 2n + 2n = 5(n + 2)

Combine like terms: 2n + 2n = 4n
5 + 4n = 5(n + 2)

Reorder the terms:
5 + 4n = 5(2 + n)
5 + 4n = (2 * 5 + n * 5)
5 + 4n = (10 + 5n)

Solving
5 + 4n = 10 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
5 + 4n + -5n = 10 + 5n + -5n

Combine like terms: 4n + -5n = -1n
5 + -1n = 10 + 5n + -5n

Combine like terms: 5n + -5n = 0
5 + -1n = 10 + 0
5 + -1n = 10

Add '-5' to each side of the equation.
5 + -5 + -1n = 10 + -5

Combine like terms: 5 + -5 = 0
0 + -1n = 10 + -5
-1n = 10 + -5

Combine like terms: 10 + -5 = 5
-1n = 5

Divide each side by '-1'.
n = -5

Simplifying
n = -5