6(2n-3)-2(6n+1)=10n

Solution for 6(2n-3)-2(6n+1)=10n equation:

Simplifying
6(2n + -3) + -2(6n + 1) = 10n

Reorder the terms:
6(-3 + 2n) + -2(6n + 1) = 10n
(-3 * 6 + 2n * 6) + -2(6n + 1) = 10n
(-18 + 12n) + -2(6n + 1) = 10n

Reorder the terms:
-18 + 12n + -2(1 + 6n) = 10n
-18 + 12n + (1 * -2 + 6n * -2) = 10n
-18 + 12n + (-2 + -12n) = 10n

Reorder the terms:
-18 + -2 + 12n + -12n = 10n

Combine like terms: -18 + -2 = -20
-20 + 12n + -12n = 10n

Combine like terms: 12n + -12n = 0
-20 + 0 = 10n
-20 = 10n

Solving
-20 = 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 + -10n = 10n + -10n

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

Add '20' to each side of the equation.
-20 + 20 + -10n = 0 + 20

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

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

Divide each side by '-10'.
n = -2

Simplifying
n = -2