-6(2n-1)=2(-5n+7)

Solution for -6(2n-1)=2(-5n+7) equation:

Simplifying
-6(2n + -1) = 2(-5n + 7)

Reorder the terms:
-6(-1 + 2n) = 2(-5n + 7)
(-1 * -6 + 2n * -6) = 2(-5n + 7)
(6 + -12n) = 2(-5n + 7)

Reorder the terms:
6 + -12n = 2(7 + -5n)
6 + -12n = (7 * 2 + -5n * 2)
6 + -12n = (14 + -10n)

Solving
6 + -12n = 14 + -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 = 14 + -10n + 10n

Combine like terms: -12n + 10n = -2n
6 + -2n = 14 + -10n + 10n

Combine like terms: -10n + 10n = 0
6 + -2n = 14 + 0
6 + -2n = 14

Add '-6' to each side of the equation.
6 + -6 + -2n = 14 + -6

Combine like terms: 6 + -6 = 0
0 + -2n = 14 + -6
-2n = 14 + -6

Combine like terms: 14 + -6 = 8
-2n = 8

Divide each side by '-2'.
n = -4

Simplifying
n = -4