4n+6-2n=2(2n+3)

Solution for 4n+6-2n=2(2n+3) equation:

Simplifying
4n + 6 + -2n = 2(2n + 3)

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

Combine like terms: 4n + -2n = 2n
6 + 2n = 2(2n + 3)

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

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

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

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

Solving
2n = 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.
2n + -4n = 4n + -4n

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

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

Divide each side by '-2'.
n = 0

Simplifying
n = 0