3x+6=12x-6

Solution for 3x+6=12x-6 equation:

Simplifying
3x + 6 = 12x + -6

Reorder the terms:
6 + 3x = 12x + -6

Reorder the terms:
6 + 3x = -6 + 12x

Solving
6 + 3x = -6 + 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 + 3x + -12x = -6 + 12x + -12x

Combine like terms: 3x + -12x = -9x
6 + -9x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -9x = -6 + 0
6 + -9x = -6

Add '-6' to each side of the equation.
6 + -6 + -9x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = -6 + -6
-9x = -6 + -6

Combine like terms: -6 + -6 = -12
-9x = -12

Divide each side by '-9'.
x = 1.333333333

Simplifying
x = 1.333333333