4(1-x)=2x-8

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


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

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

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

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + -4x + -2x = -8 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
4 + -6x = -8 + 0
4 + -6x = -8

Add '-4' to each side of the equation.
4 + -4 + -6x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = -8 + -4
-6x = -8 + -4

Combine like terms: -8 + -4 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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