2x-3(-1+(-x))=3+5(5-5x)+2(x+2x-2)

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Solution for 2x-3(-1+(-x))=3+5(5-5x)+2(x+2x-2) equation: 


Simplifying
2x + -3(-1 + (-1x)) = 3 + 5(5 + -5x) + 2(x + 2x + -2)
2x + (-1 * -3 + (-1x) * -3) = 3 + 5(5 + -5x) + 2(x + 2x + -2)
2x + (3 + 3x) = 3 + 5(5 + -5x) + 2(x + 2x + -2)

Reorder the terms:
3 + 2x + 3x = 3 + 5(5 + -5x) + 2(x + 2x + -2)

Combine like terms: 2x + 3x = 5x
3 + 5x = 3 + 5(5 + -5x) + 2(x + 2x + -2)
3 + 5x = 3 + (5 * 5 + -5x * 5) + 2(x + 2x + -2)
3 + 5x = 3 + (25 + -25x) + 2(x + 2x + -2)

Reorder the terms:
3 + 5x = 3 + 25 + -25x + 2(-2 + x + 2x)

Combine like terms: x + 2x = 3x
3 + 5x = 3 + 25 + -25x + 2(-2 + 3x)
3 + 5x = 3 + 25 + -25x + (-2 * 2 + 3x * 2)
3 + 5x = 3 + 25 + -25x + (-4 + 6x)

Reorder the terms:
3 + 5x = 3 + 25 + -4 + -25x + 6x

Combine like terms: 3 + 25 = 28
3 + 5x = 28 + -4 + -25x + 6x

Combine like terms: 28 + -4 = 24
3 + 5x = 24 + -25x + 6x

Combine like terms: -25x + 6x = -19x
3 + 5x = 24 + -19x

Solving
3 + 5x = 24 + -19x

Solving for variable 'x'.

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

Add '19x' to each side of the equation.
3 + 5x + 19x = 24 + -19x + 19x

Combine like terms: 5x + 19x = 24x
3 + 24x = 24 + -19x + 19x

Combine like terms: -19x + 19x = 0
3 + 24x = 24 + 0
3 + 24x = 24

Add '-3' to each side of the equation.
3 + -3 + 24x = 24 + -3

Combine like terms: 3 + -3 = 0
0 + 24x = 24 + -3
24x = 24 + -3

Combine like terms: 24 + -3 = 21
24x = 21

Divide each side by '24'.
x = 0.875

Simplifying
x = 0.875

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