2n-3(-5-6x)=-6(n-3)-1

Solution for 2n-3(-5-6x)=-6(n-3)-1 equation:

Simplifying
2n + -3(-5 + -6x) = -6(n + -3) + -1
2n + (-5 * -3 + -6x * -3) = -6(n + -3) + -1
2n + (15 + 18x) = -6(n + -3) + -1

Reorder the terms:
15 + 2n + 18x = -6(n + -3) + -1

Reorder the terms:
15 + 2n + 18x = -6(-3 + n) + -1
15 + 2n + 18x = (-3 * -6 + n * -6) + -1
15 + 2n + 18x = (18 + -6n) + -1

Reorder the terms:
15 + 2n + 18x = 18 + -1 + -6n

Combine like terms: 18 + -1 = 17
15 + 2n + 18x = 17 + -6n

Solving
15 + 2n + 18x = 17 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
15 + 2n + 6n + 18x = 17 + -6n + 6n

Combine like terms: 2n + 6n = 8n
15 + 8n + 18x = 17 + -6n + 6n

Combine like terms: -6n + 6n = 0
15 + 8n + 18x = 17 + 0
15 + 8n + 18x = 17

Add '-15' to each side of the equation.
15 + 8n + -15 + 18x = 17 + -15

Reorder the terms:
15 + -15 + 8n + 18x = 17 + -15

Combine like terms: 15 + -15 = 0
0 + 8n + 18x = 17 + -15
8n + 18x = 17 + -15

Combine like terms: 17 + -15 = 2
8n + 18x = 2

Add '-18x' to each side of the equation.
8n + 18x + -18x = 2 + -18x

Combine like terms: 18x + -18x = 0
8n + 0 = 2 + -18x
8n = 2 + -18x

Divide each side by '8'.
n = 0.25 + -2.25x

Simplifying
n = 0.25 + -2.25x