3(4n-2)=10n+4

Solution for 3(4n-2)=10n+4 equation:

Simplifying
3(4n + -2) = 10n + 4

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

Reorder the terms:
-6 + 12n = 4 + 10n

Solving
-6 + 12n = 4 + 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 = 4 + 10n + -10n

Combine like terms: 12n + -10n = 2n
-6 + 2n = 4 + 10n + -10n

Combine like terms: 10n + -10n = 0
-6 + 2n = 4 + 0
-6 + 2n = 4

Add '6' to each side of the equation.
-6 + 6 + 2n = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 2n = 4 + 6
2n = 4 + 6

Combine like terms: 4 + 6 = 10
2n = 10

Divide each side by '2'.
n = 5

Simplifying
n = 5