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

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

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

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

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

Reorder the terms:
3 + -6 + 9x + 6x = -6

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

Combine like terms: 9x + 6x = 15x
-3 + 15x = -6

Solving
-3 + 15x = -6

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 15x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 15x = -6 + 3
15x = -6 + 3

Combine like terms: -6 + 3 = -3
15x = -3

Divide each side by '15'.
x = -0.2

Simplifying
x = -0.2