5n-3(n-2)=-15

Solution for 5n-3(n-2)=-15 equation:

Simplifying
5n + -3(n + -2) = -15

Reorder the terms:
5n + -3(-2 + n) = -15
5n + (-2 * -3 + n * -3) = -15
5n + (6 + -3n) = -15

Reorder the terms:
6 + 5n + -3n = -15

Combine like terms: 5n + -3n = 2n
6 + 2n = -15

Solving
6 + 2n = -15

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + 2n = -15 + -6

Combine like terms: 6 + -6 = 0
0 + 2n = -15 + -6
2n = -15 + -6

Combine like terms: -15 + -6 = -21
2n = -21

Divide each side by '2'.
n = -10.5

Simplifying
n = -10.5