3x+6-12x=3(3x-2)

Solution for 3x+6-12x=3(3x-2) equation:

Simplifying
3x + 6 + -12x = 3(3x + -2)

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

Combine like terms: 3x + -12x = -9x
6 + -9x = 3(3x + -2)

Reorder the terms:
6 + -9x = 3(-2 + 3x)
6 + -9x = (-2 * 3 + 3x * 3)
6 + -9x = (-6 + 9x)

Solving
6 + -9x = -6 + 9x

Solving for variable 'x'.

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

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

Combine like terms: -9x + -9x = -18x
6 + -18x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -18x = -6 + 0
6 + -18x = -6

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

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

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

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

Simplifying
x = 0.6666666667