6-2(x-4)=42

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

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

Reorder the terms:
6 + -2(-4 + x) = 42
6 + (-4 * -2 + x * -2) = 42
6 + (8 + -2x) = 42

Combine like terms: 6 + 8 = 14
14 + -2x = 42

Solving
14 + -2x = 42

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -2x = 42 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = 42 + -14
-2x = 42 + -14

Combine like terms: 42 + -14 = 28
-2x = 28

Divide each side by '-2'.
x = -14

Simplifying
x = -14