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

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


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

Reorder the terms:
-2(-4 + x) + -1(1 + -3x) = -2(-1 + x) + -1 + -4x + -2
(-4 * -2 + x * -2) + -1(1 + -3x) = -2(-1 + x) + -1 + -4x + -2
(8 + -2x) + -1(1 + -3x) = -2(-1 + x) + -1 + -4x + -2
8 + -2x + (1 * -1 + -3x * -1) = -2(-1 + x) + -1 + -4x + -2
8 + -2x + (-1 + 3x) = -2(-1 + x) + -1 + -4x + -2

Reorder the terms:
8 + -1 + -2x + 3x = -2(-1 + x) + -1 + -4x + -2

Combine like terms: 8 + -1 = 7
7 + -2x + 3x = -2(-1 + x) + -1 + -4x + -2

Combine like terms: -2x + 3x = 1x
7 + 1x = -2(-1 + x) + -1 + -4x + -2
7 + 1x = (-1 * -2 + x * -2) + -1 + -4x + -2
7 + 1x = (2 + -2x) + -1 + -4x + -2

Reorder the terms:
7 + 1x = 2 + -1 + -2 + -2x + -4x

Combine like terms: 2 + -1 = 1
7 + 1x = 1 + -2 + -2x + -4x

Combine like terms: 1 + -2 = -1
7 + 1x = -1 + -2x + -4x

Combine like terms: -2x + -4x = -6x
7 + 1x = -1 + -6x

Solving
7 + 1x = -1 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
7 + 1x + 6x = -1 + -6x + 6x

Combine like terms: 1x + 6x = 7x
7 + 7x = -1 + -6x + 6x

Combine like terms: -6x + 6x = 0
7 + 7x = -1 + 0
7 + 7x = -1

Add '-7' to each side of the equation.
7 + -7 + 7x = -1 + -7

Combine like terms: 7 + -7 = 0
0 + 7x = -1 + -7
7x = -1 + -7

Combine like terms: -1 + -7 = -8
7x = -8

Divide each side by '7'.
x = -1.142857143

Simplifying
x = -1.142857143

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