7(n-2)-(6-4n)=10n

Solution for 7(n-2)-(6-4n)=10n equation:

Simplifying
7(n + -2) + -1(6 + -4n) = 10n

Reorder the terms:
7(-2 + n) + -1(6 + -4n) = 10n
(-2 * 7 + n * 7) + -1(6 + -4n) = 10n
(-14 + 7n) + -1(6 + -4n) = 10n
-14 + 7n + (6 * -1 + -4n * -1) = 10n
-14 + 7n + (-6 + 4n) = 10n

Reorder the terms:
-14 + -6 + 7n + 4n = 10n

Combine like terms: -14 + -6 = -20
-20 + 7n + 4n = 10n

Combine like terms: 7n + 4n = 11n
-20 + 11n = 10n

Solving
-20 + 11n = 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-20 + 11n + -10n = 10n + -10n

Combine like terms: 11n + -10n = 1n
-20 + 1n = 10n + -10n

Combine like terms: 10n + -10n = 0
-20 + 1n = 0

Add '20' to each side of the equation.
-20 + 20 + 1n = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 1n = 0 + 20
1n = 0 + 20

Combine like terms: 0 + 20 = 20
1n = 20

Divide each side by '1'.
n = 20

Simplifying
n = 20