6+2(3n-2)=4(1+n)

Solution for 6+2(3n-2)=4(1+n) equation:

Simplifying
6 + 2(3n + -2) = 4(1 + n)

Reorder the terms:
6 + 2(-2 + 3n) = 4(1 + n)
6 + (-2 * 2 + 3n * 2) = 4(1 + n)
6 + (-4 + 6n) = 4(1 + n)

Combine like terms: 6 + -4 = 2
2 + 6n = 4(1 + n)
2 + 6n = (1 * 4 + n * 4)
2 + 6n = (4 + 4n)

Solving
2 + 6n = 4 + 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.
2 + 6n + -4n = 4 + 4n + -4n

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

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

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

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

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

Divide each side by '2'.
n = 1

Simplifying
n = 1