3x+6=3(x+1)-9x

Solution for 3x+6=3(x+1)-9x equation:

Simplifying
3x + 6 = 3(x + 1) + -9x

Reorder the terms:
6 + 3x = 3(x + 1) + -9x

Reorder the terms:
6 + 3x = 3(1 + x) + -9x
6 + 3x = (1 * 3 + x * 3) + -9x
6 + 3x = (3 + 3x) + -9x

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

Solving
6 + 3x = 3 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
6 + 3x + 6x = 3 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
6 + 9x = 3 + 0
6 + 9x = 3

Add '-6' to each side of the equation.
6 + -6 + 9x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = 3 + -6
9x = 3 + -6

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

Divide each side by '9'.
x = -0.3333333333

Simplifying
x = -0.3333333333