(5x-8)-(6x-4)=-(-4-x)-4x-8

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Solution for (5x-8)-(6x-4)=-(-4-x)-4x-8 equation:


Simplifying
(5x + -8) + -1(6x + -4) = -1(-4 + -1x) + -4x + -8

Reorder the terms:
(-8 + 5x) + -1(6x + -4) = -1(-4 + -1x) + -4x + -8

Remove parenthesis around (-8 + 5x)
-8 + 5x + -1(6x + -4) = -1(-4 + -1x) + -4x + -8

Reorder the terms:
-8 + 5x + -1(-4 + 6x) = -1(-4 + -1x) + -4x + -8
-8 + 5x + (-4 * -1 + 6x * -1) = -1(-4 + -1x) + -4x + -8
-8 + 5x + (4 + -6x) = -1(-4 + -1x) + -4x + -8

Reorder the terms:
-8 + 4 + 5x + -6x = -1(-4 + -1x) + -4x + -8

Combine like terms: -8 + 4 = -4
-4 + 5x + -6x = -1(-4 + -1x) + -4x + -8

Combine like terms: 5x + -6x = -1x
-4 + -1x = -1(-4 + -1x) + -4x + -8
-4 + -1x = (-4 * -1 + -1x * -1) + -4x + -8
-4 + -1x = (4 + 1x) + -4x + -8

Reorder the terms:
-4 + -1x = 4 + -8 + 1x + -4x

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

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

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

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

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

Solving
-1x = -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 = -3x + 3x

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

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

Divide each side by '2'.
x = 0

Simplifying
x = 0

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