3(2x-4)+6=-42

Solution for 3(2x-4)+6=-42 equation:

Simplifying
3(2x + -4) + 6 = -42

Reorder the terms:
3(-4 + 2x) + 6 = -42
(-4 * 3 + 2x * 3) + 6 = -42
(-12 + 6x) + 6 = -42

Reorder the terms:
-12 + 6 + 6x = -42

Combine like terms: -12 + 6 = -6
-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