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

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Solution for 3x-[2x-3(x-4)]=-x equation:


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

Reorder the terms:
3x + -1[2x + -3(-4 + x)] = -1x
3x + -1[2x + (-4 * -3 + x * -3)] = -1x
3x + -1[2x + (12 + -3x)] = -1x

Reorder the terms:
3x + -1[12 + 2x + -3x] = -1x

Combine like terms: 2x + -3x = -1x
3x + -1[12 + -1x] = -1x
3x + [12 * -1 + -1x * -1] = -1x
3x + [-12 + 1x] = -1x

Reorder the terms:
-12 + 3x + 1x = -1x

Combine like terms: 3x + 1x = 4x
-12 + 4x = -1x

Solving
-12 + 4x = -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.
-12 + 4x + x = -1x + x

Combine like terms: 4x + x = 5x
-12 + 5x = -1x + x

Combine like terms: -1x + x = 0
-12 + 5x = 0

Add '12' to each side of the equation.
-12 + 12 + 5x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 0 + 12
5x = 0 + 12

Combine like terms: 0 + 12 = 12
5x = 12

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4

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