3(4x+2)+6(x+1)=

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

Simplifying
3(4x + 2) + 6(x + 1) = 0

Reorder the terms:
3(2 + 4x) + 6(x + 1) = 0
(2 * 3 + 4x * 3) + 6(x + 1) = 0
(6 + 12x) + 6(x + 1) = 0

Reorder the terms:
6 + 12x + 6(1 + x) = 0
6 + 12x + (1 * 6 + x * 6) = 0
6 + 12x + (6 + 6x) = 0

Reorder the terms:
6 + 6 + 12x + 6x = 0

Combine like terms: 6 + 6 = 12
12 + 12x + 6x = 0

Combine like terms: 12x + 6x = 18x
12 + 18x = 0

Solving
12 + 18x = 0

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 18x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 18x = 0 + -12
18x = 0 + -12

Combine like terms: 0 + -12 = -12
18x = -12

Divide each side by '18'.
x = -0.6666666667

Simplifying
x = -0.6666666667