4(1-4x)=2x+2(x-8)

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Solution for 4(1-4x)=2x+2(x-8) equation:


Simplifying
4(1 + -4x) = 2x + 2(x + -8)
(1 * 4 + -4x * 4) = 2x + 2(x + -8)
(4 + -16x) = 2x + 2(x + -8)

Reorder the terms:
4 + -16x = 2x + 2(-8 + x)
4 + -16x = 2x + (-8 * 2 + x * 2)
4 + -16x = 2x + (-16 + 2x)

Reorder the terms:
4 + -16x = -16 + 2x + 2x

Combine like terms: 2x + 2x = 4x
4 + -16x = -16 + 4x

Solving
4 + -16x = -16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
4 + -16x + -4x = -16 + 4x + -4x

Combine like terms: -16x + -4x = -20x
4 + -20x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + -20x = -16 + 0
4 + -20x = -16

Add '-4' to each side of the equation.
4 + -4 + -20x = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -20x = -16 + -4
-20x = -16 + -4

Combine like terms: -16 + -4 = -20
-20x = -20

Divide each side by '-20'.
x = 1

Simplifying
x = 1

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