(-x)+(x)+6=-3(x+4)

Solution for (-x)+(x)+6=-3(x+4) equation:

Simplifying
(-1x) + (x) + 6 = -3(x + 4)
(-1x) + x + 6 = -3(x + 4)

Reorder the terms:
6 + (-1x) + x = -3(x + 4)

Combine like terms: (-1x) + x = 0
6 + 0 = -3(x + 4)
6 = -3(x + 4)

Reorder the terms:
6 = -3(4 + x)
6 = (4 * -3 + x * -3)
6 = (-12 + -3x)

Solving
6 = -12 + -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 + 3x = -12 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 3x = -12 + 0
6 + 3x = -12

Add '-6' to each side of the equation.
6 + -6 + 3x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = -12 + -6
3x = -12 + -6

Combine like terms: -12 + -6 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6