2x+(2x-(x-4))=(x-(5-x))

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Solution for 2x+(2x-(x-4))=(x-(5-x)) equation:


Simplifying
2x + (2x + -1(x + -4)) = (x + -1(5 + -1x))

Reorder the terms:
2x + (2x + -1(-4 + x)) = (x + -1(5 + -1x))
2x + (2x + (-4 * -1 + x * -1)) = (x + -1(5 + -1x))
2x + (2x + (4 + -1x)) = (x + -1(5 + -1x))

Reorder the terms:
2x + (4 + 2x + -1x) = (x + -1(5 + -1x))

Combine like terms: 2x + -1x = 1x
2x + (4 + 1x) = (x + -1(5 + -1x))

Remove parenthesis around (4 + 1x)
2x + 4 + 1x = (x + -1(5 + -1x))

Reorder the terms:
4 + 2x + 1x = (x + -1(5 + -1x))

Combine like terms: 2x + 1x = 3x
4 + 3x = (x + -1(5 + -1x))
4 + 3x = (x + (5 * -1 + -1x * -1))
4 + 3x = (x + (-5 + 1x))

Reorder the terms:
4 + 3x = (-5 + x + 1x)

Combine like terms: x + 1x = 2x
4 + 3x = (-5 + 2x)

Remove parenthesis around (-5 + 2x)
4 + 3x = -5 + 2x

Solving
4 + 3x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + 3x + -2x = -5 + 2x + -2x

Combine like terms: 3x + -2x = 1x
4 + 1x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 1x = -5 + 0
4 + 1x = -5

Add '-4' to each side of the equation.
4 + -4 + 1x = -5 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = -5 + -4
1x = -5 + -4

Combine like terms: -5 + -4 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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