-6(x-8)-42=3-57

Solution for -6(x-8)-42=3-57 equation:

Simplifying
-6(x + -8) + -42 = 3 + -57

Reorder the terms:
-6(-8 + x) + -42 = 3 + -57
(-8 * -6 + x * -6) + -42 = 3 + -57
(48 + -6x) + -42 = 3 + -57

Reorder the terms:
48 + -42 + -6x = 3 + -57

Combine like terms: 48 + -42 = 6
6 + -6x = 3 + -57

Combine like terms: 3 + -57 = -54
6 + -6x = -54

Solving
6 + -6x = -54

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -6x = -54 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = -54 + -6
-6x = -54 + -6

Combine like terms: -54 + -6 = -60
-6x = -60

Divide each side by '-6'.
x = 10

Simplifying
x = 10