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

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

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

Reorder the terms:
2(3 + -4n) + -6n = 5(n + 5)
(3 * 2 + -4n * 2) + -6n = 5(n + 5)
(6 + -8n) + -6n = 5(n + 5)

Combine like terms: -8n + -6n = -14n
6 + -14n = 5(n + 5)

Reorder the terms:
6 + -14n = 5(5 + n)
6 + -14n = (5 * 5 + n * 5)
6 + -14n = (25 + 5n)

Solving
6 + -14n = 25 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
6 + -14n + -5n = 25 + 5n + -5n

Combine like terms: -14n + -5n = -19n
6 + -19n = 25 + 5n + -5n

Combine like terms: 5n + -5n = 0
6 + -19n = 25 + 0
6 + -19n = 25

Add '-6' to each side of the equation.
6 + -6 + -19n = 25 + -6

Combine like terms: 6 + -6 = 0
0 + -19n = 25 + -6
-19n = 25 + -6

Combine like terms: 25 + -6 = 19
-19n = 19

Divide each side by '-19'.
n = -1

Simplifying
n = -1