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 = 30
-18x = 30

Divide each side by '-18'.
x = -1.666666667

Simplifying
x = -1.666666667