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

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

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

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

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

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

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

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

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

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

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

Divide each side by '9'.
x = 0

Simplifying
x = 0