3(4x+2)=x-6

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

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

Reorder the terms:
3(2 + 4x) = x + -6
(2 * 3 + 4x * 3) = x + -6
(6 + 12x) = x + -6

Reorder the terms:
6 + 12x = -6 + x

Solving
6 + 12x = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 12x + -1x = -6 + x + -1x

Combine like terms: 12x + -1x = 11x
6 + 11x = -6 + x + -1x

Combine like terms: x + -1x = 0
6 + 11x = -6 + 0
6 + 11x = -6

Add '-6' to each side of the equation.
6 + -6 + 11x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 11x = -6 + -6
11x = -6 + -6

Combine like terms: -6 + -6 = -12
11x = -12

Divide each side by '11'.
x = -1.090909091

Simplifying
x = -1.090909091