(x-4)-4=-4x-(4-3x)

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Solution for (x-4)-4=-4x-(4-3x) equation:


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

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

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

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

Combine like terms: -4 + -4 = -8
-8 + x = -4x + -1(4 + -3x)
-8 + x = -4x + (4 * -1 + -3x * -1)
-8 + x = -4x + (-4 + 3x)

Reorder the terms:
-8 + x = -4 + -4x + 3x

Combine like terms: -4x + 3x = -1x
-8 + x = -4 + -1x

Solving
-8 + x = -4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-8 + x + x = -4 + -1x + x

Combine like terms: x + x = 2x
-8 + 2x = -4 + -1x + x

Combine like terms: -1x + x = 0
-8 + 2x = -4 + 0
-8 + 2x = -4

Add '8' to each side of the equation.
-8 + 8 + 2x = -4 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = -4 + 8
2x = -4 + 8

Combine like terms: -4 + 8 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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