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

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

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

Reorder the terms:
-2(-5 + n) = -3(n + 2)
(-5 * -2 + n * -2) = -3(n + 2)
(10 + -2n) = -3(n + 2)

Reorder the terms:
10 + -2n = -3(2 + n)
10 + -2n = (2 * -3 + n * -3)
10 + -2n = (-6 + -3n)

Solving
10 + -2n = -6 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
10 + -2n + 3n = -6 + -3n + 3n

Combine like terms: -2n + 3n = 1n
10 + 1n = -6 + -3n + 3n

Combine like terms: -3n + 3n = 0
10 + 1n = -6 + 0
10 + 1n = -6

Add '-10' to each side of the equation.
10 + -10 + 1n = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 1n = -6 + -10
1n = -6 + -10

Combine like terms: -6 + -10 = -16
1n = -16

Divide each side by '1'.
n = -16

Simplifying
n = -16