-4(5x-2)-x=-2(x-4)

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


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

Reorder the terms:
-4(-2 + 5x) + -1x = -2(x + -4)
(-2 * -4 + 5x * -4) + -1x = -2(x + -4)
(8 + -20x) + -1x = -2(x + -4)

Combine like terms: -20x + -1x = -21x
8 + -21x = -2(x + -4)

Reorder the terms:
8 + -21x = -2(-4 + x)
8 + -21x = (-4 * -2 + x * -2)
8 + -21x = (8 + -2x)

Add '-8' to each side of the equation.
8 + -8 + -21x = 8 + -8 + -2x

Combine like terms: 8 + -8 = 0
0 + -21x = 8 + -8 + -2x
-21x = 8 + -8 + -2x

Combine like terms: 8 + -8 = 0
-21x = 0 + -2x
-21x = -2x

Solving
-21x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-21x + 2x = -2x + 2x

Combine like terms: -21x + 2x = -19x
-19x = -2x + 2x

Combine like terms: -2x + 2x = 0
-19x = 0

Divide each side by '-19'.
x = 0

Simplifying
x = 0

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