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

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

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

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

Reorder the terms:
6 + 2x = 6(-4 + n)
6 + 2x = (-4 * 6 + n * 6)
6 + 2x = (-24 + 6n)

Solving
6 + 2x = -24 + 6n

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 2x = -24 + -6 + 6n

Combine like terms: 6 + -6 = 0
0 + 2x = -24 + -6 + 6n
2x = -24 + -6 + 6n

Combine like terms: -24 + -6 = -30
2x = -30 + 6n

Divide each side by '2'.
x = -15 + 3n

Simplifying
x = -15 + 3n