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

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

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

Reorder the terms:
4(-5 + n) + -1(6 + -3n) = 6n
(-5 * 4 + n * 4) + -1(6 + -3n) = 6n
(-20 + 4n) + -1(6 + -3n) = 6n
-20 + 4n + (6 * -1 + -3n * -1) = 6n
-20 + 4n + (-6 + 3n) = 6n

Reorder the terms:
-20 + -6 + 4n + 3n = 6n

Combine like terms: -20 + -6 = -26
-26 + 4n + 3n = 6n

Combine like terms: 4n + 3n = 7n
-26 + 7n = 6n

Solving
-26 + 7n = 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.
-26 + 7n + -6n = 6n + -6n

Combine like terms: 7n + -6n = 1n
-26 + 1n = 6n + -6n

Combine like terms: 6n + -6n = 0
-26 + 1n = 0

Add '26' to each side of the equation.
-26 + 26 + 1n = 0 + 26

Combine like terms: -26 + 26 = 0
0 + 1n = 0 + 26
1n = 0 + 26

Combine like terms: 0 + 26 = 26
1n = 26

Divide each side by '1'.
n = 26

Simplifying
n = 26