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

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

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

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

Reorder the terms:
3 + 5n = 3(2 + n) + -3n
3 + 5n = (2 * 3 + n * 3) + -3n
3 + 5n = (6 + 3n) + -3n

Combine like terms: 3n + -3n = 0
3 + 5n = 6 + 0
3 + 5n = 6

Solving
3 + 5n = 6

Solving for variable 'n'.

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

Add '-3' to each side of the equation.
3 + -3 + 5n = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 5n = 6 + -3
5n = 6 + -3

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

Divide each side by '5'.
n = 0.6

Simplifying
n = 0.6