82=6x+7(-2x+6)

Solution for 82=6x+7(-2x+6) equation:

Simplifying
82 = 6x + 7(-2x + 6)

Reorder the terms:
82 = 6x + 7(6 + -2x)
82 = 6x + (6 * 7 + -2x * 7)
82 = 6x + (42 + -14x)

Reorder the terms:
82 = 42 + 6x + -14x

Combine like terms: 6x + -14x = -8x
82 = 42 + -8x

Solving
82 = 42 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
82 + 8x = 42 + -8x + 8x

Combine like terms: -8x + 8x = 0
82 + 8x = 42 + 0
82 + 8x = 42

Add '-82' to each side of the equation.
82 + -82 + 8x = 42 + -82

Combine like terms: 82 + -82 = 0
0 + 8x = 42 + -82
8x = 42 + -82

Combine like terms: 42 + -82 = -40
8x = -40

Divide each side by '8'.
x = -5

Simplifying
x = -5