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

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

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

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

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

Combine like terms: 2n + -3n = -1n
3 + 5n = 4 + -1n

Solving
3 + 5n = 4 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
3 + 5n + n = 4 + -1n + n

Combine like terms: 5n + n = 6n
3 + 6n = 4 + -1n + n

Combine like terms: -1n + n = 0
3 + 6n = 4 + 0
3 + 6n = 4

Add '-3' to each side of the equation.
3 + -3 + 6n = 4 + -3

Combine like terms: 3 + -3 = 0
0 + 6n = 4 + -3
6n = 4 + -3

Combine like terms: 4 + -3 = 1
6n = 1

Divide each side by '6'.
n = 0.1666666667

Simplifying
n = 0.1666666667