2(x+3)-8x=42

Solution for 2(x+3)-8x=42 equation:

Simplifying
2(x + 3) + -8x = 42

Reorder the terms:
2(3 + x) + -8x = 42
(3 * 2 + x * 2) + -8x = 42
(6 + 2x) + -8x = 42

Combine like terms: 2x + -8x = -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