6(n-4)-(3-5n)=10

Solution for 6(n-4)-(3-5n)=10 equation:

Simplifying
6(n + -4) + -1(3 + -5n) = 10

Reorder the terms:
6(-4 + n) + -1(3 + -5n) = 10
(-4 * 6 + n * 6) + -1(3 + -5n) = 10
(-24 + 6n) + -1(3 + -5n) = 10
-24 + 6n + (3 * -1 + -5n * -1) = 10
-24 + 6n + (-3 + 5n) = 10

Reorder the terms:
-24 + -3 + 6n + 5n = 10

Combine like terms: -24 + -3 = -27
-27 + 6n + 5n = 10

Combine like terms: 6n + 5n = 11n
-27 + 11n = 10

Solving
-27 + 11n = 10

Solving for variable 'n'.

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

Add '27' to each side of the equation.
-27 + 27 + 11n = 10 + 27

Combine like terms: -27 + 27 = 0
0 + 11n = 10 + 27
11n = 10 + 27

Combine like terms: 10 + 27 = 37
11n = 37

Divide each side by '11'.
n = 3.363636364

Simplifying
n = 3.363636364