6-8(-5x+6)=-82

Solution for 6-8(-5x+6)=-82 equation:

Simplifying
6 + -8(-5x + 6) = -82

Reorder the terms:
6 + -8(6 + -5x) = -82
6 + (6 * -8 + -5x * -8) = -82
6 + (-48 + 40x) = -82

Combine like terms: 6 + -48 = -42
-42 + 40x = -82

Solving
-42 + 40x = -82

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + 40x = -82 + 42

Combine like terms: -42 + 42 = 0
0 + 40x = -82 + 42
40x = -82 + 42

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

Divide each side by '40'.
x = -1

Simplifying
x = -1