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

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

Simplifying
5(n + -6) + -1(4 + -2n) = 6n

Reorder the terms:
5(-6 + n) + -1(4 + -2n) = 6n
(-6 * 5 + n * 5) + -1(4 + -2n) = 6n
(-30 + 5n) + -1(4 + -2n) = 6n
-30 + 5n + (4 * -1 + -2n * -1) = 6n
-30 + 5n + (-4 + 2n) = 6n

Reorder the terms:
-30 + -4 + 5n + 2n = 6n

Combine like terms: -30 + -4 = -34
-34 + 5n + 2n = 6n

Combine like terms: 5n + 2n = 7n
-34 + 7n = 6n

Solving
-34 + 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.
-34 + 7n + -6n = 6n + -6n

Combine like terms: 7n + -6n = 1n
-34 + 1n = 6n + -6n

Combine like terms: 6n + -6n = 0
-34 + 1n = 0

Add '34' to each side of the equation.
-34 + 34 + 1n = 0 + 34

Combine like terms: -34 + 34 = 0
0 + 1n = 0 + 34
1n = 0 + 34

Combine like terms: 0 + 34 = 34
1n = 34

Divide each side by '1'.
n = 34

Simplifying
n = 34