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

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

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

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

Reorder the terms:
6 + 5N + -3N = N + 3

Combine like terms: 5N + -3N = 2N
6 + 2N = N + 3

Reorder the terms:
6 + 2N = 3 + N

Solving
6 + 2N = 3 + N

Solving for variable 'N'.

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

Add '-1N' to each side of the equation.
6 + 2N + -1N = 3 + N + -1N

Combine like terms: 2N + -1N = 1N
6 + 1N = 3 + N + -1N

Combine like terms: N + -1N = 0
6 + 1N = 3 + 0
6 + 1N = 3

Add '-6' to each side of the equation.
6 + -6 + 1N = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 1N = 3 + -6
1N = 3 + -6

Combine like terms: 3 + -6 = -3
1N = -3

Divide each side by '1'.
N = -3

Simplifying
N = -3