-x+2(3+x)=-4(x+1)

Solution for -x+2(3+x)=-4(x+1) equation:

Simplifying
-1x + 2(3 + x) = -4(x + 1)
-1x + (3 * 2 + x * 2) = -4(x + 1)
-1x + (6 + 2x) = -4(x + 1)

Reorder the terms:
6 + -1x + 2x = -4(x + 1)

Combine like terms: -1x + 2x = 1x
6 + 1x = -4(x + 1)

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

Solving
6 + 1x = -4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 1x + 4x = -4 + -4x + 4x

Combine like terms: 1x + 4x = 5x
6 + 5x = -4 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 5x = -4 + 0
6 + 5x = -4

Add '-6' to each side of the equation.
6 + -6 + 5x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = -4 + -6
5x = -4 + -6

Combine like terms: -4 + -6 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2