3(n-5)=-2n

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

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

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

Solving
-15 + 3n = -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.
-15 + 3n + 2n = -2n + 2n

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

Combine like terms: -2n + 2n = 0
-15 + 5n = 0

Add '15' to each side of the equation.
-15 + 15 + 5n = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 5n = 0 + 15
5n = 0 + 15

Combine like terms: 0 + 15 = 15
5n = 15

Divide each side by '5'.
n = 3

Simplifying
n = 3