(2x-6)-(3x-4x)+4=-(2-5x)-x

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Solution for (2x-6)-(3x-4x)+4=-(2-5x)-x equation:


Simplifying
(2x + -6) + -1(3x + -4x) + 4 = -1(2 + -5x) + -1x

Reorder the terms:
(-6 + 2x) + -1(3x + -4x) + 4 = -1(2 + -5x) + -1x

Remove parenthesis around (-6 + 2x)
-6 + 2x + -1(3x + -4x) + 4 = -1(2 + -5x) + -1x

Combine like terms: 3x + -4x = -1x
-6 + 2x + -1(-1x) + 4 = -1(2 + -5x) + -1x

Remove parenthesis around (-1x)
-6 + 2x + -1 * -1x + 4 = -1(2 + -5x) + -1x

Multiply -1 * -1
-6 + 2x + 1x + 4 = -1(2 + -5x) + -1x

Reorder the terms:
-6 + 4 + 2x + 1x = -1(2 + -5x) + -1x

Combine like terms: -6 + 4 = -2
-2 + 2x + 1x = -1(2 + -5x) + -1x

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

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

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

Combine like terms: -2 + 2 = 0
0 + 3x = -2 + 2 + 4x
3x = -2 + 2 + 4x

Combine like terms: -2 + 2 = 0
3x = 0 + 4x
3x = 4x

Solving
3x = 4x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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