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

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

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

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

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

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

Solving for variable 'x'.

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

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

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

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

Divide each side by '9'.
x = -1

Simplifying
x = -1