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