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

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Solution for 2(x-1)-(x+5)-(x-4)=x equation:


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

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

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

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

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

Combine like terms: -2 + -5 = -7
-7 + 4 + 2x + -1x + -1x = x

Combine like terms: -7 + 4 = -3
-3 + 2x + -1x + -1x = x

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

Combine like terms: 1x + -1x = 0
-3 + 0 = x
-3 = x

Solving
-3 = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + -1x = x + -1x

Combine like terms: x + -1x = 0
-3 + -1x = 0

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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