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

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

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

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

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

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

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

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

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

Solving
2x = 2n

Solving for variable 'x'.

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

Divide each side by '2'.
x = n

Simplifying
x = n