-2(x-4)=6-x

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Solution for -2(x-4)=6-x equation:


Simplifying
-2(x + -4) = 6 + -1x

Reorder the terms:
-2(-4 + x) = 6 + -1x
(-4 * -2 + x * -2) = 6 + -1x
(8 + -2x) = 6 + -1x

Solving
8 + -2x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
8 + -2x + x = 6 + -1x + x

Combine like terms: -2x + x = -1x
8 + -1x = 6 + -1x + x

Combine like terms: -1x + x = 0
8 + -1x = 6 + 0
8 + -1x = 6

Add '-8' to each side of the equation.
8 + -8 + -1x = 6 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 6 + -8
-1x = 6 + -8

Combine like terms: 6 + -8 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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