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

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

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

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

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

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

Solving
6 + 2n = -2

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 = -2 + -6

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

Combine like terms: -2 + -6 = -8
2n = -8

Divide each side by '2'.
n = -4

Simplifying
n = -4