6(x+2x+1)=12x

Solution for 6(x+2x+1)=12x equation:

Simplifying
6(x + 2x + 1) = 12x

Reorder the terms:
6(1 + x + 2x) = 12x

Combine like terms: x + 2x = 3x
6(1 + 3x) = 12x
(1 * 6 + 3x * 6) = 12x
(6 + 18x) = 12x

Solving
6 + 18x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
6 + 18x + -12x = 12x + -12x

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

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

Add '-6' to each side of the equation.
6 + -6 + 6x = 0 + -6

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

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

Divide each side by '6'.
x = -1

Simplifying
x = -1