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

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

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

Reorder the terms:
3(2 + -4(1 + x)) = -1x
3(2 + (1 * -4 + x * -4)) = -1x
3(2 + (-4 + -4x)) = -1x

Combine like terms: 2 + -4 = -2
3(-2 + -4x) = -1x
(-2 * 3 + -4x * 3) = -1x
(-6 + -12x) = -1x

Solving
-6 + -12x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + -12x + x = -1x + x

Combine like terms: -12x + x = -11x
-6 + -11x = -1x + x

Combine like terms: -1x + x = 0
-6 + -11x = 0

Add '6' to each side of the equation.
-6 + 6 + -11x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -11x = 0 + 6
-11x = 0 + 6

Combine like terms: 0 + 6 = 6
-11x = 6

Divide each side by '-11'.
x = -0.5454545455

Simplifying
x = -0.5454545455