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

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Solution for (4-2x)-(4-x)=(2x-1)+(x-3) equation:


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

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

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

Combine like terms: 4 + -4 = 0
0 + -2x + 1x = (2x + -1) + (x + -3)
-2x + 1x = (2x + -1) + (x + -3)

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

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

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

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

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

Reorder the terms:
-1x = -1 + -3 + 2x + x

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

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

Solving
-1x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1x + -3x = -4 + 3x + -3x

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

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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