3[2-4(x-1)]=-x

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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 = 6
3[6 + -4x] = -1x
[6 * 3 + -4x * 3] = -1x
[18 + -12x] = -1x

Solving
18 + -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.
18 + -12x + x = -1x + x

Combine like terms: -12x + x = -11x
18 + -11x = -1x + x

Combine like terms: -1x + x = 0
18 + -11x = 0

Add '-18' to each side of the equation.
18 + -18 + -11x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -11x = 0 + -18
-11x = 0 + -18

Combine like terms: 0 + -18 = -18
-11x = -18

Divide each side by '-11'.
x = 1.636363636

Simplifying
x = 1.636363636

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