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

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

Simplifying
2(n + -5) + -1(6n + -1) = 3

Reorder the terms:
2(-5 + n) + -1(6n + -1) = 3
(-5 * 2 + n * 2) + -1(6n + -1) = 3
(-10 + 2n) + -1(6n + -1) = 3

Reorder the terms:
-10 + 2n + -1(-1 + 6n) = 3
-10 + 2n + (-1 * -1 + 6n * -1) = 3
-10 + 2n + (1 + -6n) = 3

Reorder the terms:
-10 + 1 + 2n + -6n = 3

Combine like terms: -10 + 1 = -9
-9 + 2n + -6n = 3

Combine like terms: 2n + -6n = -4n
-9 + -4n = 3

Solving
-9 + -4n = 3

Solving for variable 'n'.

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

Add '9' to each side of the equation.
-9 + 9 + -4n = 3 + 9

Combine like terms: -9 + 9 = 0
0 + -4n = 3 + 9
-4n = 3 + 9

Combine like terms: 3 + 9 = 12
-4n = 12

Divide each side by '-4'.
n = -3

Simplifying
n = -3