82=7x-6(1+3x)

Solution for 82=7x-6(1+3x) equation:

Simplifying
82 = 7x + -6(1 + 3x)
82 = 7x + (1 * -6 + 3x * -6)
82 = 7x + (-6 + -18x)

Reorder the terms:
82 = -6 + 7x + -18x

Combine like terms: 7x + -18x = -11x
82 = -6 + -11x

Solving
82 = -6 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
82 + 11x = -6 + -11x + 11x

Combine like terms: -11x + 11x = 0
82 + 11x = -6 + 0
82 + 11x = -6

Add '-82' to each side of the equation.
82 + -82 + 11x = -6 + -82

Combine like terms: 82 + -82 = 0
0 + 11x = -6 + -82
11x = -6 + -82

Combine like terms: -6 + -82 = -88
11x = -88

Divide each side by '11'.
x = -8

Simplifying
x = -8