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

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Solution for 2[1-3(x-2)]=-x equation:


Simplifying
2[1 + -3(x + -2)] = -1x

Reorder the terms:
2[1 + -3(-2 + x)] = -1x
2[1 + (-2 * -3 + x * -3)] = -1x
2[1 + (6 + -3x)] = -1x

Combine like terms: 1 + 6 = 7
2[7 + -3x] = -1x
[7 * 2 + -3x * 2] = -1x
[14 + -6x] = -1x

Solving
14 + -6x = -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.
14 + -6x + x = -1x + x

Combine like terms: -6x + x = -5x
14 + -5x = -1x + x

Combine like terms: -1x + x = 0
14 + -5x = 0

Add '-14' to each side of the equation.
14 + -14 + -5x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = 0 + -14
-5x = 0 + -14

Combine like terms: 0 + -14 = -14
-5x = -14

Divide each side by '-5'.
x = 2.8

Simplifying
x = 2.8

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