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

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


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

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

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

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

Combine like terms: 1 + 4 = 5
8 + -2x = 5 + 4x + -1x

Combine like terms: 4x + -1x = 3x
8 + -2x = 5 + 3x

Solving
8 + -2x = 5 + 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.
8 + -2x + -3x = 5 + 3x + -3x

Combine like terms: -2x + -3x = -5x
8 + -5x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -5x = 5 + 0
8 + -5x = 5

Add '-8' to each side of the equation.
8 + -8 + -5x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 5 + -8
-5x = 5 + -8

Combine like terms: 5 + -8 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

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