2n+6=4n+2

Solution for 2n+6=4n+2 equation:

Simplifying
2n + 6 = 4n + 2

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

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

Simplifying
n = 2