6(2n-1)=10n

Solution for 6(2n-1)=10n equation:

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

Reorder the terms:
6(-1 + 2n) = 10n
(-1 * 6 + 2n * 6) = 10n
(-6 + 12n) = 10n

Solving
-6 + 12n = 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.
-6 + 12n + -10n = 10n + -10n

Combine like terms: 12n + -10n = 2n
-6 + 2n = 10n + -10n

Combine like terms: 10n + -10n = 0
-6 + 2n = 0

Add '6' to each side of the equation.
-6 + 6 + 2n = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 2n = 0 + 6
2n = 0 + 6

Combine like terms: 0 + 6 = 6
2n = 6

Divide each side by '2'.
n = 3

Simplifying
n = 3