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

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

Simplifying
3(n + 5) = -2(3 + -1n)

Reorder the terms:
3(5 + n) = -2(3 + -1n)
(5 * 3 + n * 3) = -2(3 + -1n)
(15 + 3n) = -2(3 + -1n)
15 + 3n = (3 * -2 + -1n * -2)
15 + 3n = (-6 + 2n)

Solving
15 + 3n = -6 + 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 = -6 + 2n + -2n

Combine like terms: 3n + -2n = 1n
15 + 1n = -6 + 2n + -2n

Combine like terms: 2n + -2n = 0
15 + 1n = -6 + 0
15 + 1n = -6

Add '-15' to each side of the equation.
15 + -15 + 1n = -6 + -15

Combine like terms: 15 + -15 = 0
0 + 1n = -6 + -15
1n = -6 + -15

Combine like terms: -6 + -15 = -21
1n = -21

Divide each side by '1'.
n = -21

Simplifying
n = -21