-3x-3(x-2)=42

Solution for -3x-3(x-2)=42 equation:

Simplifying
-3x + -3(x + -2) = 42

Reorder the terms:
-3x + -3(-2 + x) = 42
-3x + (-2 * -3 + x * -3) = 42
-3x + (6 + -3x) = 42

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

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

Solving
6 + -6x = 42

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 = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = 42 + -6
-6x = 42 + -6

Combine like terms: 42 + -6 = 36
-6x = 36

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

Simplifying
x = -6