3(n+4)-5n=-2(n-6)

Solution for 3(n+4)-5n=-2(n-6) equation:

Simplifying
3(n + 4) + -5n = -2(n + -6)

Reorder the terms:
3(4 + n) + -5n = -2(n + -6)
(4 * 3 + n * 3) + -5n = -2(n + -6)
(12 + 3n) + -5n = -2(n + -6)

Combine like terms: 3n + -5n = -2n
12 + -2n = -2(n + -6)

Reorder the terms:
12 + -2n = -2(-6 + n)
12 + -2n = (-6 * -2 + n * -2)
12 + -2n = (12 + -2n)

Add '-12' to each side of the equation.
12 + -12 + -2n = 12 + -12 + -2n

Combine like terms: 12 + -12 = 0
0 + -2n = 12 + -12 + -2n
-2n = 12 + -12 + -2n

Combine like terms: 12 + -12 = 0
-2n = 0 + -2n
-2n = -2n

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.