-2(x-4)-x=-4(4x-10)

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Solution for -2(x-4)-x=-4(4x-10) equation:


Simplifying
-2(x + -4) + -1x = -4(4x + -10)

Reorder the terms:
-2(-4 + x) + -1x = -4(4x + -10)
(-4 * -2 + x * -2) + -1x = -4(4x + -10)
(8 + -2x) + -1x = -4(4x + -10)

Combine like terms: -2x + -1x = -3x
8 + -3x = -4(4x + -10)

Reorder the terms:
8 + -3x = -4(-10 + 4x)
8 + -3x = (-10 * -4 + 4x * -4)
8 + -3x = (40 + -16x)

Solving
8 + -3x = 40 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
8 + -3x + 16x = 40 + -16x + 16x

Combine like terms: -3x + 16x = 13x
8 + 13x = 40 + -16x + 16x

Combine like terms: -16x + 16x = 0
8 + 13x = 40 + 0
8 + 13x = 40

Add '-8' to each side of the equation.
8 + -8 + 13x = 40 + -8

Combine like terms: 8 + -8 = 0
0 + 13x = 40 + -8
13x = 40 + -8

Combine like terms: 40 + -8 = 32
13x = 32

Divide each side by '13'.
x = 2.461538462

Simplifying
x = 2.461538462

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