6+-6(3x+-1)=-42

Solution for 6+-6(3x+-1)=-42 equation:

Simplifying
6 + -6(3x + -1) = -42

Reorder the terms:
6 + -6(-1 + 3x) = -42
6 + (-1 * -6 + 3x * -6) = -42
6 + (6 + -18x) = -42

Combine like terms: 6 + 6 = 12
12 + -18x = -42

Solving
12 + -18x = -42

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -18x = -42 + -12

Combine like terms: 12 + -12 = 0
0 + -18x = -42 + -12
-18x = -42 + -12

Combine like terms: -42 + -12 = -54
-18x = -54

Divide each side by '-18'.
x = 3

Simplifying
x = 3