3(x+1)=6-3(2x+2)

Solution for 3(x+1)=6-3(2x+2) equation:

Simplifying
3(x + 1) = 6 + -3(2x + 2)

Reorder the terms:
3(1 + x) = 6 + -3(2x + 2)
(1 * 3 + x * 3) = 6 + -3(2x + 2)
(3 + 3x) = 6 + -3(2x + 2)

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

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

Solving
3 + 3x = -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.
3 + 3x + 6x = -6x + 6x

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

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

Add '-3' to each side of the equation.
3 + -3 + 9x = 0 + -3

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

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

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

Simplifying
x = -0.3333333333