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

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


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

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

Combine like terms: 2x + -8x = -6x
8 + -4x = 2 + -6x

Solving
8 + -4x = 2 + -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.
8 + -4x + 6x = 2 + -6x + 6x

Combine like terms: -4x + 6x = 2x
8 + 2x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
8 + 2x = 2 + 0
8 + 2x = 2

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

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

Combine like terms: 2 + -8 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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