82=2x-4(-6x+12)

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Solution for 82=2x-4(-6x+12) equation:


Simplifying
82 = 2x + -4(-6x + 12)

Reorder the terms:
82 = 2x + -4(12 + -6x)
82 = 2x + (12 * -4 + -6x * -4)
82 = 2x + (-48 + 24x)

Reorder the terms:
82 = -48 + 2x + 24x

Combine like terms: 2x + 24x = 26x
82 = -48 + 26x

Solving
82 = -48 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
82 + -26x = -48 + 26x + -26x

Combine like terms: 26x + -26x = 0
82 + -26x = -48 + 0
82 + -26x = -48

Add '-82' to each side of the equation.
82 + -82 + -26x = -48 + -82

Combine like terms: 82 + -82 = 0
0 + -26x = -48 + -82
-26x = -48 + -82

Combine like terms: -48 + -82 = -130
-26x = -130

Divide each side by '-26'.
x = 5

Simplifying
x = 5

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