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

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

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

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

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

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

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

Solving
3 + 5n = 1 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
3 + 5n + -2n = 1 + 2n + -2n

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

Combine like terms: 2n + -2n = 0
3 + 3n = 1 + 0
3 + 3n = 1

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

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

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

Divide each side by '3'.
n = -0.6666666667

Simplifying
n = -0.6666666667