6(2n-1)=2(5n-3)+4n

Solution for 6(2n-1)=2(5n-3)+4n equation:

Simplifying
6(2n + -1) = 2(5n + -3) + 4n

Reorder the terms:
6(-1 + 2n) = 2(5n + -3) + 4n
(-1 * 6 + 2n * 6) = 2(5n + -3) + 4n
(-6 + 12n) = 2(5n + -3) + 4n

Reorder the terms:
-6 + 12n = 2(-3 + 5n) + 4n
-6 + 12n = (-3 * 2 + 5n * 2) + 4n
-6 + 12n = (-6 + 10n) + 4n

Combine like terms: 10n + 4n = 14n
-6 + 12n = -6 + 14n

Add '6' to each side of the equation.
-6 + 6 + 12n = -6 + 6 + 14n

Combine like terms: -6 + 6 = 0
0 + 12n = -6 + 6 + 14n
12n = -6 + 6 + 14n

Combine like terms: -6 + 6 = 0
12n = 0 + 14n
12n = 14n

Solving
12n = 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
12n + -14n = 14n + -14n

Combine like terms: 12n + -14n = -2n
-2n = 14n + -14n

Combine like terms: 14n + -14n = 0
-2n = 0

Divide each side by '-2'.
n = 0

Simplifying
n = 0