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

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


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

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

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

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

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

Combine like terms: -4x + 4x = 0
3 + 0 = -1(3 + 6x) + x
3 = -1(3 + 6x) + x
3 = (3 * -1 + 6x * -1) + x
3 = (-3 + -6x) + x

Combine like terms: -6x + x = -5x
3 = -3 + -5x

Solving
3 = -3 + -5x

Solving for variable 'x'.

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

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

Combine like terms: -5x + 5x = 0
3 + 5x = -3 + 0
3 + 5x = -3

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

Combine like terms: 3 + -3 = 0
0 + 5x = -3 + -3
5x = -3 + -3

Combine like terms: -3 + -3 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2

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