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

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


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

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

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

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

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

Solving
2 + -2x = 8

Solving for variable 'x'.

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

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

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

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

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

Simplifying
x = -3

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