2(n-3)=4n+2

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

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

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

Reorder the terms:
-6 + 2n = 2 + 4n

Solving
-6 + 2n = 2 + 4n

Solving for variable 'n'.

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

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

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

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

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

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

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

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

Simplifying
n = -4